30744960 has 128 divisors (see below), whose sum is σ = 99878400. Its totient is φ = 8042496.

The previous prime is 30744953. The next prime is 30744977. The reversal of 30744960 is 6944703.

It is a tau number, because it is divible by the number of its divisors (128).

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, 128521 + ... + 128759.

It is an arithmetic number, because the mean of its divisors is an integer number (780300).

Almost surely, 2^30744960 is an apocalyptic number.

30744960 is a gapful number since it is divisible by the number (30) 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 30744960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49939200).

30744960 is an abundant number, since it is smaller than the sum of its proper divisors (69133440).

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

30744960 is a wasteful number, since it uses less digits than its factorization.

30744960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 30744960 is about 5544.8137930863. The cubic root of 30744960 is about 313.2742104634.

The spelling of 30744960 in words is "thirty million, seven hundred forty-four thousand, nine hundred sixty".