47981680 has 80 divisors (see below), whose sum is σ = 118117440. Its totient is φ = 18089984.

The previous prime is 47981641. The next prime is 47981693. The reversal of 47981680 is 8618974.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

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, 163614 + ... + 163906.

It is an arithmetic number, because the mean of its divisors is an integer number (1476468).

Almost surely, 2^47981680 is an apocalyptic number.

47981680 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 47981680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59058720).

47981680 is an abundant number, since it is smaller than the sum of its proper divisors (70135760).

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

47981680 is a wasteful number, since it uses less digits than its factorization.

47981680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 43.

The square root of 47981680 is about 6926.8809719815. The cubic root of 47981680 is about 363.3778770590.

The spelling of 47981680 in words is "forty-seven million, nine hundred eighty-one thousand, six hundred eighty".