47645680 has 20 divisors (see below), whose sum is σ = 110776392. Its totient is φ = 19058240.

The previous prime is 47645671. The next prime is 47645681. The reversal of 47645680 is 8654674.

47645680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×47645680² = 4540221645324800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47645681) 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 3 ways as a sum of consecutive naturals, for example, 297706 + ... + 297865.

Almost surely, 2^47645680 is an apocalyptic number.

47645680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47645680 is an abundant number, since it is smaller than the sum of its proper divisors (63130712).

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

47645680 is a wasteful number, since it uses less digits than its factorization.

47645680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595584 (or 595578 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The square root of 47645680 is about 6902.5850230186. The cubic root of 47645680 is about 362.5276839737.

The spelling of 47645680 in words is "forty-seven million, six hundred forty-five thousand, six hundred eighty".