47964096 has 112 divisors (see below), whose sum is σ = 144658080. Its totient is φ = 15575040.

The previous prime is 47964083. The next prime is 47964097. The reversal of 47964096 is 69046974.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47964097) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70510 + ... + 71186.

It is an arithmetic number, because the mean of its divisors is an integer number (1291590).

Almost surely, 2^47964096 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 47964096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72329040).

47964096 is an abundant number, since it is smaller than the sum of its proper divisors (96693984).

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

47964096 is a wasteful number, since it uses less digits than its factorization.

47964096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 47964096 is about 6925.6115975414. The cubic root of 47964096 is about 363.3334822171. Note that the first 3 decimals are identical.

The spelling of 47964096 in words is "forty-seven million, nine hundred sixty-four thousand, ninety-six".