47792160 has 384 divisors, whose sum is σ = 193052160. Its totient is φ = 10948608.

The previous prime is 47792153. The next prime is 47792161. The reversal of 47792160 is 6129774.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (47792161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1291662 + ... + 1291698.

It is an arithmetic number, because the mean of its divisors is an integer number (502740).

Almost surely, 2^47792160 is an apocalyptic number.

47792160 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 47792160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96526080).

47792160 is an abundant number, since it is smaller than the sum of its proper divisors (145260000).

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

47792160 is a wasteful number, since it uses less digits than its factorization.

47792160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 47792160 is about 6913.1873980097. The cubic root of 47792160 is about 362.8988175063.

The spelling of 47792160 in words is "forty-seven million, seven hundred ninety-two thousand, one hundred sixty".