86838816 has 48 divisors (see below), whose sum is σ = 239954400. Its totient is φ = 27422208.

The previous prime is 86838803. The next prime is 86838841. The reversal of 86838816 is 61883868.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21981 + ... + 25628.

It is an arithmetic number, because the mean of its divisors is an integer number (4999050).

Almost surely, 2^86838816 is an apocalyptic number.

It is an amenable number.

86838816 is an abundant number, since it is smaller than the sum of its proper divisors (153115584).

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

86838816 is a wasteful number, since it uses less digits than its factorization.

86838816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47641 (or 47633 counting only the distinct ones).

The product of its digits is 442368, while the sum is 48.

The square root of 86838816 is about 9318.7346780558. The cubic root of 86838816 is about 442.8309477990.

The spelling of 86838816 in words is "eighty-six million, eight hundred thirty-eight thousand, eight hundred sixteen".