47646080 has 64 divisors (see below), whose sum is σ = 115117200. Its totient is φ = 18855936.

The previous prime is 47646031. The next prime is 47646089. The reversal of 47646080 is 8064674.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 47646080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47646089) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69419 + ... + 70101.

Almost surely, 2^47646080 is an apocalyptic number.

47646080 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 47646080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57558600).

47646080 is an abundant number, since it is smaller than the sum of its proper divisors (67471120).

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

47646080 is a wasteful number, since it uses less digits than its factorization.

47646080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 47646080 is about 6902.6139976099. The cubic root of 47646080 is about 362.5286984810.

The spelling of 47646080 in words is "forty-seven million, six hundred forty-six thousand, eighty".