86996520 has 192 divisors, whose sum is σ = 315478800. Its totient is φ = 20643840.

The previous prime is 86996501. The next prime is 86996527. The reversal of 86996520 is 2569968.

It can be written as a sum of positive squares in 8 ways, for example, as 41757444 + 45239076 = 6462^2 + 6726^2 .

It is a super-2 number, since 2×86996520² = 15136788984220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (86996527) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135400 + ... + 136040.

Almost surely, 2^86996520 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 86996520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157739400).

86996520 is an abundant number, since it is smaller than the sum of its proper divisors (228482280).

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

86996520 is a wasteful number, since it uses less digits than its factorization.

86996520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 86996520 is about 9327.1925036422. The cubic root of 86996520 is about 443.0988540271.

The spelling of 86996520 in words is "eighty-six million, nine hundred ninety-six thousand, five hundred twenty".