87073560 has 192 divisors, whose sum is σ = 327412800. Its totient is φ = 19657728.

The previous prime is 87073559. The next prime is 87073579. The reversal of 87073560 is 6537078.

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, 274522 + ... + 274838.

It is an arithmetic number, because the mean of its divisors is an integer number (1705275).

Almost surely, 2^87073560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87073560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163706400).

87073560 is an abundant number, since it is smaller than the sum of its proper divisors (240339240).

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

87073560 is a wasteful number, since it uses less digits than its factorization.

87073560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 87073560 is about 9331.3214498269. The cubic root of 87073560 is about 443.2296112273.

The spelling of 87073560 in words is "eighty-seven million, seventy-three thousand, five hundred sixty".