86312400 has 120 divisors (see below), whose sum is σ = 292820544. Its totient is φ = 21657600.

The previous prime is 86312393. The next prime is 86312419. The reversal of 86312400 is 421368.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18285 + ... + 22515.

Almost surely, 2^86312400 is an apocalyptic number.

86312400 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 86312400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146410272).

86312400 is an abundant number, since it is smaller than the sum of its proper divisors (206508144).

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

86312400 is a wasteful number, since it uses less digits than its factorization.

86312400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4269 (or 4258 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 86312400 is about 9290.4467061600. The cubic root of 86312400 is about 441.9343213699.

Adding to 86312400 its reverse (421368), we get a palindrome (86733768).

The spelling of 86312400 in words is "eighty-six million, three hundred twelve thousand, four hundred".