47648160 has 288 divisors, whose sum is σ = 193415040. Its totient is φ = 10450944.

The previous prime is 47648149. The next prime is 47648173. The reversal of 47648160 is 6184674.

47648160 is a `hidden beast` number, since 4 + 7 + 648 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

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, 292239 + ... + 292401.

It is an arithmetic number, because the mean of its divisors is an integer number (671580).

Almost surely, 2^47648160 is an apocalyptic number.

47648160 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 47648160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96707520).

47648160 is an abundant number, since it is smaller than the sum of its proper divisors (145766880).

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

47648160 is a wasteful number, since it uses less digits than its factorization.

47648160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 47648160 is about 6902.7646635243. The cubic root of 47648160 is about 362.5339738273.

The spelling of 47648160 in words is "forty-seven million, six hundred forty-eight thousand, one hundred sixty".