85248240 has 240 divisors, whose sum is σ = 335871360. Its totient is φ = 17687040.

The previous prime is 85248239. The next prime is 85248257. The reversal of 85248240 is 4284258.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (33).

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 47 ways as a sum of consecutive naturals, for example, 129031 + ... + 129689.

It is an arithmetic number, because the mean of its divisors is an integer number (1399464).

Almost surely, 2^85248240 is an apocalyptic number.

85248240 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 85248240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167935680).

85248240 is an abundant number, since it is smaller than the sum of its proper divisors (250623120).

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

85248240 is a wasteful number, since it uses less digits than its factorization.

85248240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

The square root of 85248240 is about 9232.9973464742. The cubic root of 85248240 is about 440.1105782684.

The spelling of 85248240 in words is "eighty-five million, two hundred forty-eight thousand, two hundred forty".