86610400 has 36 divisors (see below), whose sum is σ = 211439592. Its totient is φ = 34643840.

The previous prime is 86610397. The next prime is 86610437. The reversal of 86610400 is 401668.

It is a super-2 number, since 2×86610400² = 15002722776320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 53332 + ... + 54931.

It is an arithmetic number, because the mean of its divisors is an integer number (5873322).

Almost surely, 2^86610400 is an apocalyptic number.

86610400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86610400 is an abundant number, since it is smaller than the sum of its proper divisors (124829192).

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

86610400 is a wasteful number, since it uses less digits than its factorization.

86610400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108283 (or 108270 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 86610400 is about 9306.4708670903. The cubic root of 86610400 is about 442.4423408971.

The spelling of 86610400 in words is "eighty-six million, six hundred ten thousand, four hundred".