87514560 has 224 divisors, whose sum is σ = 353080320. Its totient is φ = 19989504.

The previous prime is 87514543. The next prime is 87514561. The reversal of 87514560 is 6541578.

87514560 is a `hidden beast` number, since 87 + 5 + 14 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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 (87514561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59757 + ... + 61203.

Almost surely, 2^87514560 is an apocalyptic number.

87514560 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 87514560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176540160).

87514560 is an abundant number, since it is smaller than the sum of its proper divisors (265565760).

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

87514560 is a wasteful number, since it uses less digits than its factorization.

87514560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1480 (or 1464 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 87514560 is about 9354.9216992982. The cubic root of 87514560 is about 443.9766240432.

The spelling of 87514560 in words is "eighty-seven million, five hundred fourteen thousand, five hundred sixty".