87257520 has 320 divisors, whose sum is σ = 357120000. Its totient is φ = 19160064.

The previous prime is 87257503. The next prime is 87257543. The reversal of 87257520 is 2575278.

87257520 is a `hidden beast` number, since 87 + 2 + 57 + 520 = 666.

It is a super-2 number, since 2×87257520² = 15227749593100800, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 438381 + ... + 438579.

It is an arithmetic number, because the mean of its divisors is an integer number (1116000).

Almost surely, 2^87257520 is an apocalyptic number.

87257520 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 87257520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178560000).

87257520 is an abundant number, since it is smaller than the sum of its proper divisors (269862480).

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

87257520 is a wasteful number, since it uses less digits than its factorization.

87257520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 245 counting only the distinct ones).

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

The square root of 87257520 is about 9341.1733738326. The cubic root of 87257520 is about 443.5415282086.

The spelling of 87257520 in words is "eighty-seven million, two hundred fifty-seven thousand, five hundred twenty".