47951568 has 160 divisors (see below), whose sum is σ = 159870720. Its totient is φ = 13478400.

The previous prime is 47951567. The next prime is 47951597. The reversal of 47951568 is 86515974.

47951568 is a `hidden beast` number, since 4 + 79 + 515 + 68 = 666.

Its product of digits (302400) is a multiple of the sum of its prime divisors (270).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47951567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 305346 + ... + 305502.

It is an arithmetic number, because the mean of its divisors is an integer number (999192).

Almost surely, 2^47951568 is an apocalyptic number.

47951568 is a gapful number since it is divisible by the number (48) 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 47951568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79935360).

47951568 is an abundant number, since it is smaller than the sum of its proper divisors (111919152).

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

47951568 is a wasteful number, since it uses less digits than its factorization.

47951568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 270 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The square root of 47951568 is about 6924.7070696167. The cubic root of 47951568 is about 363.3018457876.

The spelling of 47951568 in words is "forty-seven million, nine hundred fifty-one thousand, five hundred sixty-eight".