87627520 has 72 divisors (see below), whose sum is σ = 222297264. Its totient is φ = 32980992.

The previous prime is 87627517. The next prime is 87627541. The reversal of 87627520 is 2572678.

It is a super-2 number, since 2×87627520² = 15357164522700800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 87627520.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19747 + ... + 23773.

It is an arithmetic number, because the mean of its divisors is an integer number (3087462).

Almost surely, 2^87627520 is an apocalyptic number.

87627520 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 87627520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111148632).

87627520 is an abundant number, since it is smaller than the sum of its proper divisors (134669744).

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

87627520 is a wasteful number, since it uses less digits than its factorization.

87627520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4065 (or 4051 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 37.

The square root of 87627520 is about 9360.9572160116. The cubic root of 87627520 is about 444.1675638407.

The spelling of 87627520 in words is "eighty-seven million, six hundred twenty-seven thousand, five hundred twenty".