30724960 has 72 divisors (see below), whose sum is σ = 84460320. Its totient is φ = 10531584.

The previous prime is 30724951. The next prime is 30724963. The reversal of 30724960 is 6942703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30724963) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5881 + ... + 9799.

It is an arithmetic number, because the mean of its divisors is an integer number (1173060).

Almost surely, 2^30724960 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 30724960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42230160).

30724960 is an abundant number, since it is smaller than the sum of its proper divisors (53735360).

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

30724960 is a wasteful number, since it uses less digits than its factorization.

30724960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3948 (or 3933 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 30724960 is about 5543.0100126195. The cubic root of 30724960 is about 313.2062660665.

It can be divided in two parts, 30724 and 960, that multiplied together give a triangular number (29495040 = T₇₆₈₀).

The spelling of 30724960 in words is "thirty million, seven hundred twenty-four thousand, nine hundred sixty".