86256400 has 60 divisors (see below), whose sum is σ = 208375552. Its totient is φ = 34312320.

The previous prime is 86256349. The next prime is 86256413. The reversal of 86256400 is 465268.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88717 + ... + 89683.

Almost surely, 2^86256400 is an apocalyptic number.

86256400 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 86256400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104187776).

86256400 is an abundant number, since it is smaller than the sum of its proper divisors (122119152).

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

86256400 is a wasteful number, since it uses less digits than its factorization.

86256400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1208 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 86256400 is about 9287.4323685290. The cubic root of 86256400 is about 441.8387241509.

The spelling of 86256400 in words is "eighty-six million, two hundred fifty-six thousand, four hundred".