85642920 has 256 divisors, whose sum is σ = 318816000. Its totient is φ = 20528640.

The previous prime is 85642919. The next prime is 85642933. The reversal of 85642920 is 2924658.

It is a happy number.

85642920 is a `hidden beast` number, since 8 + 5 + 642 + 9 + 2 + 0 = 666.

It is a super-2 number, since 2×85642920² = 14669419492252800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 962236 + ... + 962324.

It is an arithmetic number, because the mean of its divisors is an integer number (1245375).

Almost surely, 2^85642920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85642920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159408000).

85642920 is an abundant number, since it is smaller than the sum of its proper divisors (233173080).

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

85642920 is a wasteful number, since it uses less digits than its factorization.

85642920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 85642920 is about 9254.3460060666. The cubic root of 85642920 is about 440.7887367937.

The spelling of 85642920 in words is "eighty-five million, six hundred forty-two thousand, nine hundred twenty".