87527520 has 96 divisors (see below), whose sum is σ = 306361440. Its totient is φ = 23339520.

The previous prime is 87527513. The next prime is 87527549. The reversal of 87527520 is 2572578.

87527520 is a `hidden beast` number, since 87 + 52 + 7 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×87527520² = 15322133514700800, which contains 22 as substring.

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

It is a congruent number.

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, 5811 + ... + 14450.

It is an arithmetic number, because the mean of its divisors is an integer number (3191265).

Almost surely, 2^87527520 is an apocalyptic number.

87527520 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87527520 is an abundant number, since it is smaller than the sum of its proper divisors (218833920).

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

87527520 is a wasteful number, since it uses less digits than its factorization.

87527520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20285 (or 20271 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 87527520 is about 9355.6143571654. The cubic root of 87527520 is about 443.9985390748.

The spelling of 87527520 in words is "eighty-seven million, five hundred twenty-seven thousand, five hundred twenty".