47947680 has 192 divisors, whose sum is σ = 183254400. Its totient is φ = 11612160.

The previous prime is 47947631. The next prime is 47947693. The reversal of 47947680 is 8674974.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47016 + ... + 48024.

It is an arithmetic number, because the mean of its divisors is an integer number (954450).

Almost surely, 2^47947680 is an apocalyptic number.

47947680 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 47947680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91627200).

47947680 is an abundant number, since it is smaller than the sum of its proper divisors (135306720).

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

47947680 is a wasteful number, since it uses less digits than its factorization.

47947680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 47947680 is about 6924.4263300291. The cubic root of 47947680 is about 363.2920264649.

The spelling of 47947680 in words is "forty-seven million, nine hundred forty-seven thousand, six hundred eighty".