86913216 has 224 divisors, whose sum is σ = 284195520. Its totient is φ = 25878528.

The previous prime is 86913179. The next prime is 86913247. The reversal of 86913216 is 61231968.

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

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

Its product of digits (15552) is a multiple of the sum of its prime divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1190556 + ... + 1190628.

It is an arithmetic number, because the mean of its divisors is an integer number (1268730).

Almost surely, 2^86913216 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 86913216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142097760).

86913216 is an abundant number, since it is smaller than the sum of its proper divisors (197282304).

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

86913216 is a wasteful number, since it uses less digits than its factorization.

86913216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 144 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 86913216 is about 9322.7257816585. The cubic root of 86913216 is about 442.9573782725.

The spelling of 86913216 in words is "eighty-six million, nine hundred thirteen thousand, two hundred sixteen".