85691040 has 96 divisors (see below), whose sum is σ = 271797120. Its totient is φ = 22692864.

The previous prime is 85691029. The next prime is 85691051. The reversal of 85691040 is 4019658.

It is an interprime number because it is at equal distance from previous prime (85691029) and next prime (85691051).

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 85690992 and 85691010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79626 + ... + 80694.

It is an arithmetic number, because the mean of its divisors is an integer number (2831220).

Almost surely, 2^85691040 is an apocalyptic number.

85691040 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 85691040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135898560).

85691040 is an abundant number, since it is smaller than the sum of its proper divisors (186106080).

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

85691040 is a wasteful number, since it uses less digits than its factorization.

85691040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 85691040 is about 9256.9455005417. The cubic root of 85691040 is about 440.8712763377.

The spelling of 85691040 in words is "eighty-five million, six hundred ninety-one thousand, forty".