85602960 has 80 divisors (see below), whose sum is σ = 294862080. Its totient is φ = 22826880.

The previous prime is 85602931. The next prime is 85602967. The reversal of 85602960 is 6920658.

85602960 is a `hidden beast` number, since 8 + 560 + 2 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85602967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17656 + ... + 21975.

It is an arithmetic number, because the mean of its divisors is an integer number (3685776).

Almost surely, 2^85602960 is an apocalyptic number.

85602960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85602960 is an abundant number, since it is smaller than the sum of its proper divisors (209259120).

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

85602960 is a wasteful number, since it uses less digits than its factorization.

85602960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39653 (or 39641 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 85602960 is about 9252.1867685429. The cubic root of 85602960 is about 440.7201704793.

The spelling of 85602960 in words is "eighty-five million, six hundred two thousand, nine hundred sixty".