47910560 has 48 divisors (see below), whose sum is σ = 116262216. Its totient is φ = 18643968.

The previous prime is 47910547. The next prime is 47910589. The reversal of 47910560 is 6501974.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 44568976 + 3341584 = 6676^2 + 1828^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1874 + ... + 9966.

Almost surely, 2^47910560 is an apocalyptic number.

47910560 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 47910560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58131108).

47910560 is an abundant number, since it is smaller than the sum of its proper divisors (68351656).

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

47910560 is a wasteful number, since it uses less digits than its factorization.

47910560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8145 (or 8137 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 32.

The square root of 47910560 is about 6921.7454446115. The cubic root of 47910560 is about 363.1982514616.

The spelling of 47910560 in words is "forty-seven million, nine hundred ten thousand, five hundred sixty".