47580960 has 288 divisors, whose sum is σ = 185673600. Its totient is φ = 10235904.

The previous prime is 47580947. The next prime is 47580983. The reversal of 47580960 is 6908574.

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, 2798872 + ... + 2798888.

It is an arithmetic number, because the mean of its divisors is an integer number (644700).

Almost surely, 2^47580960 is an apocalyptic number.

47580960 is a gapful number since it is divisible by the number (40) 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 47580960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92836800).

47580960 is an abundant number, since it is smaller than the sum of its proper divisors (138092640).

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

47580960 is a wasteful number, since it uses less digits than its factorization.

47580960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 47580960 is about 6897.8953311862. The cubic root of 47580960 is about 362.3634618563.

The spelling of 47580960 in words is "forty-seven million, five hundred eighty thousand, nine hundred sixty".