85612800 has 432 divisors, whose sum is σ = 354838400. Its totient is φ = 18063360.

The previous prime is 85612789. The next prime is 85612873. The reversal of 85612800 is 821658.

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 47 ways as a sum of consecutive naturals, for example, 6585594 + ... + 6585606.

Almost surely, 2^85612800 is an apocalyptic number.

85612800 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 85612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177419200).

85612800 is an abundant number, since it is smaller than the sum of its proper divisors (269225600).

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

85612800 is a wasteful number, since it uses less digits than its factorization.

85612800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 85612800 is about 9252.7185194407. The cubic root of 85612800 is about 440.7370566568.

The spelling of 85612800 in words is "eighty-five million, six hundred twelve thousand, eight hundred".