30945984 has 112 divisors (see below), whose sum is σ = 91440000. Its totient is φ = 9179136.

The previous prime is 30945983. The next prime is 30945991. The reversal of 30945984 is 48954903.

It is not an unprimeable number, because it can be changed into a prime (30945983) 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, 61767 + ... + 62265.

Almost surely, 2^30945984 is an apocalyptic number.

30945984 is a gapful number since it is divisible by the number (34) 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 30945984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45720000).

30945984 is an abundant number, since it is smaller than the sum of its proper divisors (60494016).

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

30945984 is a wasteful number, since it uses less digits than its factorization.

30945984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 30945984 is about 5562.9114679276. The cubic root of 30945984 is about 313.9555023696.

The spelling of 30945984 in words is "thirty million, nine hundred forty-five thousand, nine hundred eighty-four".