85874688 has 96 divisors (see below), whose sum is σ = 254545200. Its totient is φ = 28606464.

The previous prime is 85874653. The next prime is 85874693. The reversal of 85874688 is 88647858.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 54520 + ... + 56072.

Almost surely, 2^85874688 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 85874688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127272600).

85874688 is an abundant number, since it is smaller than the sum of its proper divisors (168670512).

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

85874688 is a wasteful number, since it uses less digits than its factorization.

85874688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1584 (or 1558 counting only the distinct ones).

The product of its digits is 3440640, while the sum is 54.

The square root of 85874688 is about 9266.8596622588. The cubic root of 85874688 is about 441.1860014129.

The spelling of 85874688 in words is "eighty-five million, eight hundred seventy-four thousand, six hundred eighty-eight".