86097600 has 168 divisors, whose sum is σ = 314015120. Its totient is φ = 22947840.

The previous prime is 86097589. The next prime is 86097601. The reversal of 86097600 is 679068.

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

It is not an unprimeable number, because it can be changed into a prime (86097601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42204 + ... + 44196.

Almost surely, 2^86097600 is an apocalyptic number.

86097600 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 86097600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157007560).

86097600 is an abundant number, since it is smaller than the sum of its proper divisors (227917520).

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

86097600 is a wasteful number, since it uses less digits than its factorization.

86097600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2024 (or 2003 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 86097600 is about 9278.8792426672. The cubic root of 86097600 is about 441.5674125291.

The spelling of 86097600 in words is "eighty-six million, ninety-seven thousand, six hundred".