47893680 has 200 divisors, whose sum is σ = 175546800. Its totient is φ = 12068352.

The previous prime is 47893669. The next prime is 47893687. The reversal of 47893680 is 8639874.

It is a happy number.

47893680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (47893687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 122926 + ... + 123314.

It is an arithmetic number, because the mean of its divisors is an integer number (877734).

Almost surely, 2^47893680 is an apocalyptic number.

47893680 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 47893680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87773400).

47893680 is an abundant number, since it is smaller than the sum of its proper divisors (127653120).

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

47893680 is a wasteful number, since it uses less digits than its factorization.

47893680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 47893680 is about 6920.5259915703. The cubic root of 47893680 is about 363.1555920658.

The spelling of 47893680 in words is "forty-seven million, eight hundred ninety-three thousand, six hundred eighty".