87563520 has 216 divisors, whose sum is σ = 330980832. Its totient is φ = 21196800.

The previous prime is 87563501. The next prime is 87563527. The reversal of 87563520 is 2536578.

87563520 is a `hidden beast` number, since 8 + 75 + 63 + 520 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87563527) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126375 + ... + 127065.

Almost surely, 2^87563520 is an apocalyptic number.

87563520 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 87563520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165490416).

87563520 is an abundant number, since it is smaller than the sum of its proper divisors (243417312).

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

87563520 is a wasteful number, since it uses less digits than its factorization.

87563520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 87563520 is about 9357.5381377796. The cubic root of 87563520 is about 444.0594028142.

The spelling of 87563520 in words is "eighty-seven million, five hundred sixty-three thousand, five hundred twenty".