47124960 has 96 divisors (see below), whose sum is σ = 153280512. Its totient is φ = 12157440.

The previous prime is 47124943. The next prime is 47124983. The reversal of 47124960 is 6942174.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 13297 + ... + 16463.

It is an arithmetic number, because the mean of its divisors is an integer number (1596672).

Almost surely, 2^47124960 is an apocalyptic number.

47124960 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 47124960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76640256).

47124960 is an abundant number, since it is smaller than the sum of its proper divisors (106155552).

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

47124960 is a wasteful number, since it uses less digits than its factorization.

47124960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3216 (or 3208 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 47124960 is about 6864.7621954442. The cubic root of 47124960 is about 361.2021539982.

It can be divided in two parts, 47124 and 960, that added together give a palindrome (48084).

The spelling of 47124960 in words is "forty-seven million, one hundred twenty-four thousand, nine hundred sixty".