85642704 has 160 divisors (see below), whose sum is σ = 284426240. Its totient is φ = 24167808.

The previous prime is 85642703. The next prime is 85642741. The reversal of 85642704 is 40724658.

85642704 is a `hidden beast` number, since 8 + 5 + 642 + 7 + 0 + 4 = 666.

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 (85642703) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 383937 + ... + 384159.

It is an arithmetic number, because the mean of its divisors is an integer number (1777664).

Almost surely, 2^85642704 is an apocalyptic number.

85642704 is a gapful number since it is divisible by the number (84) 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 85642704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142213120).

85642704 is an abundant number, since it is smaller than the sum of its proper divisors (198783536).

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

85642704 is a wasteful number, since it uses less digits than its factorization.

85642704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 85642704 is about 9254.3343358666. The cubic root of 85642704 is about 440.7883662223.

The spelling of 85642704 in words is "eighty-five million, six hundred forty-two thousand, seven hundred four".