47676960 has 144 divisors (see below), whose sum is σ = 164697624. Its totient is φ = 12558336.

The previous prime is 47676931. The next prime is 47676961. The reversal of 47676960 is 6967674.

It can be written as a sum of positive squares in 4 ways, for example, as 36144144 + 11532816 = 6012^2 + 3396^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 (47676961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162574 + ... + 162866.

Almost surely, 2^47676960 is an apocalyptic number.

47676960 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 47676960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82348812).

47676960 is an abundant number, since it is smaller than the sum of its proper divisors (117020664).

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

47676960 is a wasteful number, since it uses less digits than its factorization.

47676960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 47676960 is about 6904.8504690543. The cubic root of 47676960 is about 362.6070013100.

The spelling of 47676960 in words is "forty-seven million, six hundred seventy-six thousand, nine hundred sixty".