85296520 has 64 divisors (see below), whose sum is σ = 198728640. Its totient is φ = 32928000.

The previous prime is 85296509. The next prime is 85296559. The reversal of 85296520 is 2569258.

It is a happy number.

It is a super-2 number, since 2×85296520² = 14550992648220800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 85296520.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173475 + ... + 173965.

It is an arithmetic number, because the mean of its divisors is an integer number (3105135).

Almost surely, 2^85296520 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85296520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99364320).

85296520 is an abundant number, since it is smaller than the sum of its proper divisors (113432120).

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

85296520 is a wasteful number, since it uses less digits than its factorization.

85296520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 37.

The square root of 85296520 is about 9235.6115119682. The cubic root of 85296520 is about 440.1936475440.

The spelling of 85296520 in words is "eighty-five million, two hundred ninety-six thousand, five hundred twenty".