86914944 has 160 divisors (see below), whose sum is σ = 264365640. Its totient is φ = 28339200.

The previous prime is 86914937. The next prime is 86914951. The reversal of 86914944 is 44941968.

It is an interprime number because it is at equal distance from previous prime (86914937) and next prime (86914951).

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

It is a self number, because there is not a number n which added to its sum of digits gives 86914944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 860494 + ... + 860594.

Almost surely, 2^86914944 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 86914944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132182820).

86914944 is an abundant number, since it is smaller than the sum of its proper divisors (177450696).

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

86914944 is a wasteful number, since it uses less digits than its factorization.

86914944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 189 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 86914944 is about 9322.8184579557. The cubic root of 86914944 is about 442.9603138647.

The spelling of 86914944 in words is "eighty-six million, nine hundred fourteen thousand, nine hundred forty-four".