87460560 has 240 divisors, whose sum is σ = 333103680. Its totient is φ = 21150720.

The previous prime is 87460543. The next prime is 87460573. The reversal of 87460560 is 6506478.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 213636 + ... + 214044.

It is an arithmetic number, because the mean of its divisors is an integer number (1387932).

Almost surely, 2^87460560 is an apocalyptic number.

87460560 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 87460560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166551840).

87460560 is an abundant number, since it is smaller than the sum of its proper divisors (245643120).

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

87460560 is a wasteful number, since it uses less digits than its factorization.

87460560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 87460560 is about 9352.0350726460. The cubic root of 87460560 is about 443.8852881158.

The spelling of 87460560 in words is "eighty-seven million, four hundred sixty thousand, five hundred sixty".