86256800 has 144 divisors (see below), whose sum is σ = 245109312. Its totient is φ = 29030400.

The previous prime is 86256799. The next prime is 86256809. The reversal of 86256800 is 865268.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (86256809) 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, 408695 + ... + 408905.

It is an arithmetic number, because the mean of its divisors is an integer number (1702148).

Almost surely, 2^86256800 is an apocalyptic number.

86256800 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 86256800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122554656).

86256800 is an abundant number, since it is smaller than the sum of its proper divisors (158852512).

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

86256800 is a wasteful number, since it uses less digits than its factorization.

86256800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 86256800 is about 9287.4539029812. The cubic root of 86256800 is about 441.8394071349.

The spelling of 86256800 in words is "eighty-six million, two hundred fifty-six thousand, eight hundred".