85836924 has 36 divisors (see below), whose sum is σ = 218373064. Its totient is φ = 28428192.

The previous prime is 85836913. The next prime is 85836931. The reversal of 85836924 is 42963858.

85836924 is a `hidden beast` number, since 8 + 583 + 69 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×85836924³ (a number of 25 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 85836924.

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, 1942 + ... + 13245.

Almost surely, 2^85836924 is an apocalyptic number.

It is an amenable number.

85836924 is an abundant number, since it is smaller than the sum of its proper divisors (132536140).

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

85836924 is a wasteful number, since it uses less digits than its factorization.

85836924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15354 (or 15349 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 85836924 is about 9264.8218547363. The cubic root of 85836924 is about 441.1213203783.

The spelling of 85836924 in words is "eighty-five million, eight hundred thirty-six thousand, nine hundred twenty-four".