86909844 has 48 divisors (see below), whose sum is σ = 232243200. Its totient is φ = 24779616.

The previous prime is 86909761. The next prime is 86909861. The reversal of 86909844 is 44890968.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 86909793 and 86909802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59677 + ... + 61115.

It is an arithmetic number, because the mean of its divisors is an integer number (4838400).

Almost surely, 2^86909844 is an apocalyptic number.

86909844 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

86909844 is an abundant number, since it is smaller than the sum of its proper divisors (145333356).

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

86909844 is a wasteful number, since it uses less digits than its factorization.

86909844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2172 (or 2170 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The square root of 86909844 is about 9322.5449315088. The cubic root of 86909844 is about 442.9516496785.

The spelling of 86909844 in words is "eighty-six million, nine hundred nine thousand, eight hundred forty-four".