86981664 has 216 divisors, whose sum is σ = 296990064. Its totient is φ = 22041600.

The previous prime is 86981597. The next prime is 86981689. The reversal of 86981664 is 46618968.

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

Its product of digits (497664) is a multiple of the sum of its prime divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2121484 + ... + 2121524.

It is an arithmetic number, because the mean of its divisors is an integer number (1374954).

Almost surely, 2^86981664 is an apocalyptic number.

86981664 is a gapful number since it is divisible by the number (84) 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 86981664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148495032).

86981664 is an abundant number, since it is smaller than the sum of its proper divisors (210008400).

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

86981664 is a wasteful number, since it uses less digits than its factorization.

86981664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 64 counting only the distinct ones).

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

The square root of 86981664 is about 9326.3960885221. The cubic root of 86981664 is about 443.0736305993.

The spelling of 86981664 in words is "eighty-six million, nine hundred eighty-one thousand, six hundred sixty-four".