47707968 has 168 divisors, whose sum is σ = 160532064. Its totient is φ = 12364800.

The previous prime is 47707963. The next prime is 47708009. The reversal of 47707968 is 86970774.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47707963) 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, 103258 + ... + 103718.

It is an arithmetic number, because the mean of its divisors is an integer number (955548).

Almost surely, 2^47707968 is an apocalyptic number.

47707968 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 47707968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80266032).

47707968 is an abundant number, since it is smaller than the sum of its proper divisors (112824096).

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

47707968 is a wasteful number, since it uses less digits than its factorization.

47707968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 48.

The square root of 47707968 is about 6907.0954821835. The cubic root of 47707968 is about 362.6855946965.

The spelling of 47707968 in words is "forty-seven million, seven hundred seven thousand, nine hundred sixty-eight".