47911968 has 144 divisors (see below), whose sum is σ = 149700096. Its totient is φ = 14446080.

The previous prime is 47911961. The next prime is 47911979. The reversal of 47911968 is 86911974.

It is a happy number.

47911968 is a `hidden beast` number, since 479 + 119 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47911961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 250753 + ... + 250943.

It is an arithmetic number, because the mean of its divisors is an integer number (1039584).

Almost surely, 2^47911968 is an apocalyptic number.

47911968 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 47911968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74850048).

47911968 is an abundant number, since it is smaller than the sum of its proper divisors (101788128).

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

47911968 is a wasteful number, since it uses less digits than its factorization.

47911968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 276 counting only the distinct ones).

The product of its digits is 108864, while the sum is 45.

The square root of 47911968 is about 6921.8471523142. The cubic root of 47911968 is about 363.2018093281.

The spelling of 47911968 in words is "forty-seven million, nine hundred eleven thousand, nine hundred sixty-eight".