85725696 has 240 divisors, whose sum is σ = 285490656. Its totient is φ = 22708224.

The previous prime is 85725671. The next prime is 85725719. The reversal of 85725696 is 69652758.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (907200) is a multiple of the sum of its prime divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1279455 + ... + 1279521.

Almost surely, 2^85725696 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 85725696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142745328).

85725696 is an abundant number, since it is smaller than the sum of its proper divisors (199764960).

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

85725696 is a wasteful number, since it uses less digits than its factorization.

85725696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 96 counting only the distinct ones).

The product of its digits is 907200, while the sum is 48.

The square root of 85725696 is about 9258.8172030773. The cubic root of 85725696 is about 440.9307021372.

The spelling of 85725696 in words is "eighty-five million, seven hundred twenty-five thousand, six hundred ninety-six".