47756160 has 96 divisors (see below), whose sum is σ = 164927880. Its totient is φ = 12733440.

The previous prime is 47756153. The next prime is 47756171. The reversal of 47756160 is 6165774.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1615 + ... + 9905.

Almost surely, 2^47756160 is an apocalyptic number.

47756160 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 47756160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82463940).

47756160 is an abundant number, since it is smaller than the sum of its proper divisors (117171720).

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

47756160 is a wasteful number, since it uses less digits than its factorization.

47756160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8316 (or 8301 counting only the distinct ones).

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

The square root of 47756160 is about 6910.5831881253. The cubic root of 47756160 is about 362.8076753671.

The spelling of 47756160 in words is "forty-seven million, seven hundred fifty-six thousand, one hundred sixty".