47131680 has 96 divisors (see below), whose sum is σ = 149688000. Its totient is φ = 12465152.

The previous prime is 47131663. The next prime is 47131691. The reversal of 47131680 is 8613174.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71191 + ... + 71849.

It is an arithmetic number, because the mean of its divisors is an integer number (1559250).

Almost surely, 2^47131680 is an apocalyptic number.

47131680 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 47131680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74844000).

47131680 is an abundant number, since it is smaller than the sum of its proper divisors (102556320).

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

47131680 is a wasteful number, since it uses less digits than its factorization.

47131680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 47131680 is about 6865.2516341355. The cubic root of 47131680 is about 361.2193222753.

The spelling of 47131680 in words is "forty-seven million, one hundred thirty-one thousand, six hundred eighty".