47671680 has 128 divisors (see below), whose sum is σ = 173710080. Its totient is φ = 10893312.

The previous prime is 47671669. The next prime is 47671691. The reversal of 47671680 is 8617674.

It is an interprime number because it is at equal distance from previous prime (47671669) and next prime (47671691).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11667 + ... + 15213.

It is an arithmetic number, because the mean of its divisors is an integer number (1357110).

Almost surely, 2^47671680 is an apocalyptic number.

47671680 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 47671680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86855040).

47671680 is an abundant number, since it is smaller than the sum of its proper divisors (126038400).

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

47671680 is a wasteful number, since it uses less digits than its factorization.

47671680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3576 (or 3564 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 47671680 is about 6904.4681185447. The cubic root of 47671680 is about 362.5936151402.

The spelling of 47671680 in words is "forty-seven million, six hundred seventy-one thousand, six hundred eighty".