86468400 has 90 divisors (see below), whose sum is σ = 300081860. Its totient is φ = 23057280.

The previous prime is 86468377. The next prime is 86468429. The reversal of 86468400 is 486468.

86468400 is a `hidden beast` number, since 8 + 646 + 8 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 8410 + ... + 15609.

Almost surely, 2^86468400 is an apocalyptic number.

86468400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86468400 is an abundant number, since it is smaller than the sum of its proper divisors (213613460).

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

86468400 is a wasteful number, since it uses less digits than its factorization.

86468400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24043 (or 24029 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 86468400 is about 9298.8386371632. The cubic root of 86468400 is about 442.2004100623.

It can be divided in two parts, 86468 and 400, that added together give a palindrome (86868).

The spelling of 86468400 in words is "eighty-six million, four hundred sixty-eight thousand, four hundred".