85629024 has 72 divisors (see below), whose sum is σ = 262250352. Its totient is φ = 26346240.

The previous prime is 85629013. The next prime is 85629031. The reversal of 85629024 is 42092658.

It is a happy number.

85629024 is a `hidden beast` number, since 8 + 5 + 629 + 0 + 24 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 85629024.

It is a congruent number.

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, 7692 + ... + 15179.

It is an arithmetic number, because the mean of its divisors is an integer number (3642366).

Almost surely, 2^85629024 is an apocalyptic number.

It is an amenable number.

85629024 is an abundant number, since it is smaller than the sum of its proper divisors (176621328).

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

85629024 is a wasteful number, since it uses less digits than its factorization.

85629024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22900 (or 22889 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 85629024 is about 9253.5951932208. The cubic root of 85629024 is about 440.7648954316.

The spelling of 85629024 in words is "eighty-five million, six hundred twenty-nine thousand, twenty-four".