85020960 has 48 divisors (see below), whose sum is σ = 267817536. Its totient is φ = 22672128.

The previous prime is 85020919. The next prime is 85020977. The reversal of 85020960 is 6902058.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 88084 + ... + 89043.

It is an arithmetic number, because the mean of its divisors is an integer number (5579532).

Almost surely, 2^85020960 is an apocalyptic number.

85020960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85020960 is an abundant number, since it is smaller than the sum of its proper divisors (182796576).

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

85020960 is a wasteful number, since it uses less digits than its factorization.

85020960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177145 (or 177137 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 85020960 is about 9220.6811028253. The cubic root of 85020960 is about 439.7191044613.

The spelling of 85020960 in words is "eighty-five million, twenty thousand, nine hundred sixty".