47353680 has 160 divisors (see below), whose sum is σ = 178024320. Its totient is φ = 11473920.

The previous prime is 47353679. The next prime is 47353699. The reversal of 47353680 is 8635374.

It is a happy number.

47353680 is a `hidden beast` number, since 47 + 3 + 536 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 22764 + ... + 24756.

It is an arithmetic number, because the mean of its divisors is an integer number (1112652).

Almost surely, 2^47353680 is an apocalyptic number.

47353680 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 47353680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89012160).

47353680 is an abundant number, since it is smaller than the sum of its proper divisors (130670640).

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

47353680 is a wasteful number, since it uses less digits than its factorization.

47353680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2026 (or 2014 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 47353680 is about 6881.4010201412. The cubic root of 47353680 is about 361.7855734892.

The spelling of 47353680 in words is "forty-seven million, three hundred fifty-three thousand, six hundred eighty".