85620960 has 144 divisors (see below), whose sum is σ = 300265056. Its totient is φ = 22201344.

The previous prime is 85620949. The next prime is 85620961. The reversal of 85620960 is 6902658.

85620960 is a `hidden beast` number, since 8 + 562 + 0 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 (85620961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52477 + ... + 54083.

It is an arithmetic number, because the mean of its divisors is an integer number (2085174).

Almost surely, 2^85620960 is an apocalyptic number.

85620960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85620960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150132528).

85620960 is an abundant number, since it is smaller than the sum of its proper divisors (214644096).

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

85620960 is a wasteful number, since it uses less digits than its factorization.

85620960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1665 (or 1654 counting only the distinct ones).

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

The square root of 85620960 is about 9253.1594604222. The cubic root of 85620960 is about 440.7510588470.

The spelling of 85620960 in words is "eighty-five million, six hundred twenty thousand, nine hundred sixty".