47564160 has 128 divisors (see below), whose sum is σ = 173318400. Its totient is φ = 10868736.

The previous prime is 47564119. The next prime is 47564177. The reversal of 47564160 is 6146574.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11671 + ... + 15209.

It is an arithmetic number, because the mean of its divisors is an integer number (1354050).

Almost surely, 2^47564160 is an apocalyptic number.

47564160 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 47564160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86659200).

47564160 is an abundant number, since it is smaller than the sum of its proper divisors (125754240).

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

47564160 is a wasteful number, since it uses less digits than its factorization.

47564160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3568 (or 3556 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 47564160 is about 6896.6774609228. The cubic root of 47564160 is about 362.3208087811.

The spelling of 47564160 in words is "forty-seven million, five hundred sixty-four thousand, one hundred sixty".