85720896 has 112 divisors (see below), whose sum is σ = 254812800. Its totient is φ = 28256256.

The previous prime is 85720891. The next prime is 85720963. The reversal of 85720896 is 69802758.

It is a super-2 number, since 2×85720896² = 14696144022085632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85720891) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 195045 + ... + 195483.

Almost surely, 2^85720896 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 85720896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127406400).

85720896 is an abundant number, since it is smaller than the sum of its proper divisors (169091904).

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

85720896 is a wasteful number, since it uses less digits than its factorization.

85720896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 85720896 is about 9258.5579870734. The cubic root of 85720896 is about 440.9224723727.

The spelling of 85720896 in words is "eighty-five million, seven hundred twenty thousand, eight hundred ninety-six".