85692240 has 120 divisors (see below), whose sum is σ = 304755048. Its totient is φ = 21504000.

The previous prime is 85692239. The next prime is 85692241. The reversal of 85692240 is 4229658.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (85692239) and next prime (85692241).

It can be written as a sum of positive squares in 4 ways, for example, as 14930496 + 70761744 = 3864^2 + 8412^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 85692195 and 85692204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85692241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8740 + ... + 15740.

Almost surely, 2^85692240 is an apocalyptic number.

85692240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85692240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152377524).

85692240 is an abundant number, since it is smaller than the sum of its proper divisors (219062808).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85692240 is a wasteful number, since it uses less digits than its factorization.

85692240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7037 (or 7028 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 85692240 is about 9257.0103165115. The cubic root of 85692240 is about 440.8733342855.

It can be divided in two parts, 856 and 92240, that added together give a triangular number (93096 = T₄₃₁).

The spelling of 85692240 in words is "eighty-five million, six hundred ninety-two thousand, two hundred forty".