47616080 has 20 divisors (see below), whose sum is σ = 110707572. Its totient is φ = 19046400.

The previous prime is 47616073. The next prime is 47616083. The reversal of 47616080 is 8061674.

It can be written as a sum of positive squares in 2 ways, for example, as 5053504 + 42562576 = 2248^2 + 6524^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47616083) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 297521 + ... + 297680.

Almost surely, 2^47616080 is an apocalyptic number.

47616080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47616080 is an abundant number, since it is smaller than the sum of its proper divisors (63091492).

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

47616080 is a wasteful number, since it uses less digits than its factorization.

47616080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595214 (or 595208 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 47616080 is about 6900.4405656451. The cubic root of 47616080 is about 362.4525946729.

The spelling of 47616080 in words is "forty-seven million, six hundred sixteen thousand, eighty".