47967120 has 160 divisors (see below), whose sum is σ = 168739200. Its totient is φ = 12519936.

The previous prime is 47967107. The next prime is 47967163. The reversal of 47967120 is 2176974.

It is a happy number.

47967120 is a `hidden beast` number, since 479 + 67 + 120 = 666.

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 31 ways as a sum of consecutive naturals, for example, 114271 + ... + 114689.

It is an arithmetic number, because the mean of its divisors is an integer number (1054620).

Almost surely, 2^47967120 is an apocalyptic number.

47967120 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 47967120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84369600).

47967120 is an abundant number, since it is smaller than the sum of its proper divisors (120772080).

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

47967120 is a wasteful number, since it uses less digits than its factorization.

47967120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 482 counting only the distinct ones).

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

The square root of 47967120 is about 6925.8299141691. The cubic root of 47967120 is about 363.3411177713.

The spelling of 47967120 in words is "forty-seven million, nine hundred sixty-seven thousand, one hundred twenty".