724984960 has 128 divisors (see below), whose sum is σ = 2029587840. Its totient is φ = 242442240.

The previous prime is 724984937. The next prime is 724984963. The reversal of 724984960 is 69489427.

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

It is not an unprimeable number, because it can be changed into a prime (724984963) 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, 181707 + ... + 185653.

It is an arithmetic number, because the mean of its divisors is an integer number (15856155).

Almost surely, 2^724984960 is an apocalyptic number.

724984960 is a gapful number since it is divisible by the number (70) 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 724984960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1014793920).

724984960 is an abundant number, since it is smaller than the sum of its proper divisors (1304602880).

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

724984960 is a wasteful number, since it uses less digits than its factorization.

724984960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4014 (or 4002 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 49.

The square root of 724984960 is about 26925.5447484355. The cubic root of 724984960 is about 898.3446774838.

The spelling of 724984960 in words is "seven hundred twenty-four million, nine hundred eighty-four thousand, nine hundred sixty".