85823360 has 64 divisors (see below), whose sum is σ = 234493920. Its totient is φ = 29423616.

The previous prime is 85823357. The next prime is 85823371. The reversal of 85823360 is 6332858.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 85823360.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5099 + ... + 14058.

Almost surely, 2^85823360 is an apocalyptic number.

85823360 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85823360 is an abundant number, since it is smaller than the sum of its proper divisors (148670560).

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

85823360 is a wasteful number, since it uses less digits than its factorization.

85823360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19183 (or 19171 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 85823360 is about 9264.0898095819. The cubic root of 85823360 is about 441.0980837395.

The spelling of 85823360 in words is "eighty-five million, eight hundred twenty-three thousand, three hundred sixty".