47616144 has 80 divisors (see below), whose sum is σ = 129158400. Its totient is φ = 15095808.

The previous prime is 47616139. The next prime is 47616161. The reversal of 47616144 is 44161674.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109752 + ... + 110184.

It is an arithmetic number, because the mean of its divisors is an integer number (1614480).

Almost surely, 2^47616144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47616144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64579200).

47616144 is an abundant number, since it is smaller than the sum of its proper divisors (81542256).

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

47616144 is a wasteful number, since it uses less digits than its factorization.

47616144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 546 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 47616144 is about 6900.4452030286. The cubic root of 47616144 is about 362.4527570617.

The spelling of 47616144 in words is "forty-seven million, six hundred sixteen thousand, one hundred forty-four".