47640960 has 160 divisors (see below), whose sum is σ = 170319600. Its totient is φ = 12690432.

The previous prime is 47640949. The next prime is 47640977. The reversal of 47640960 is 6904674.

47640960 is a `hidden beast` number, since 4 + 7 + 640 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×47640960² = 4539322139443200, which contains 22 as substring.

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 19 ways as a sum of consecutive naturals, for example, 51381 + ... + 52299.

Almost surely, 2^47640960 is an apocalyptic number.

47640960 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 47640960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85159800).

47640960 is an abundant number, since it is smaller than the sum of its proper divisors (122678640).

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

47640960 is an equidigital number, since it uses as much as digits as its factorization.

47640960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 47640960 is about 6902.2431136552. The cubic root of 47640960 is about 362.5157123590.

The spelling of 47640960 in words is "forty-seven million, six hundred forty thousand, nine hundred sixty".