86640600 has 96 divisors (see below), whose sum is σ = 270317520. Its totient is φ = 22955520.

The previous prime is 86640583. The next prime is 86640623. The reversal of 86640600 is 604668.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 117834 + ... + 118566.

Almost surely, 2^86640600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86640600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135158760).

86640600 is an abundant number, since it is smaller than the sum of its proper divisors (183676920).

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

86640600 is a wasteful number, since it uses less digits than its factorization.

86640600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 86640600 is about 9308.0932526485. The cubic root of 86640600 is about 442.4937596873.

The spelling of 86640600 in words is "eighty-six million, six hundred forty thousand, six hundred".