86752400 has 60 divisors (see below), whose sum is σ = 238204992. Its totient is φ = 29742720.

The previous prime is 86752399. The next prime is 86752403. The reversal of 86752400 is 425768.

It is not an unprimeable number, because it can be changed into a prime (86752403) 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 11 ways as a sum of consecutive naturals, for example, 12692 + ... + 18291.

Almost surely, 2^86752400 is an apocalyptic number.

86752400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86752400 is an abundant number, since it is smaller than the sum of its proper divisors (151452592).

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

86752400 is a wasteful number, since it uses less digits than its factorization.

86752400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31008 (or 30997 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 86752400 is about 9314.0968429580. The cubic root of 86752400 is about 442.6840074415.

The spelling of 86752400 in words is "eighty-six million, seven hundred fifty-two thousand, four hundred".