86139900 has 324 divisors, whose sum is σ = 342176016. Its totient is φ = 17740800.

The previous prime is 86139887. The next prime is 86139923. The reversal of 86139900 is 993168.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 762244 + ... + 762356.

Almost surely, 2^86139900 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 86139900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171088008).

86139900 is an abundant number, since it is smaller than the sum of its proper divisors (256036116).

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

86139900 is a wasteful number, since it uses less digits than its factorization.

86139900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 86139900 is about 9281.1583328807. The cubic root of 86139900 is about 441.6397151387.

The spelling of 86139900 in words is "eighty-six million, one hundred thirty-nine thousand, nine hundred".