85653792 has 72 divisors (see below), whose sum is σ = 278381376. Its totient is φ = 24471936.

The previous prime is 85653773. The next prime is 85653809. The reversal of 85653792 is 29735658.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19228 + ... + 23259.

It is an arithmetic number, because the mean of its divisors is an integer number (3866408).

Almost surely, 2^85653792 is an apocalyptic number.

It is an amenable number.

85653792 is an abundant number, since it is smaller than the sum of its proper divisors (192727584).

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

85653792 is a wasteful number, since it uses less digits than its factorization.

85653792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42510 (or 42499 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 85653792 is about 9254.9333871185. The cubic root of 85653792 is about 440.8073880820.

The spelling of 85653792 in words is "eighty-five million, six hundred fifty-three thousand, seven hundred ninety-two".