86761520 has 80 divisors (see below), whose sum is σ = 214218432. Its totient is φ = 32609280.

The previous prime is 86761501. The next prime is 86761537. The reversal of 86761520 is 2516768.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×86761520² = 15055122705420800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111854 + ... + 112626.

Almost surely, 2^86761520 is an apocalyptic number.

86761520 is a gapful number since it is divisible by the number (80) 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 86761520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107109216).

86761520 is an abundant number, since it is smaller than the sum of its proper divisors (127456912).

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

86761520 is a wasteful number, since it uses less digits than its factorization.

86761520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 86761520 is about 9314.5864105713. The cubic root of 86761520 is about 442.6995195453.

The spelling of 86761520 in words is "eighty-six million, seven hundred sixty-one thousand, five hundred twenty".