30987792 has 80 divisors (see below), whose sum is σ = 97047360. Its totient is φ = 9388800.

The previous prime is 30987791. The next prime is 30987793. The reversal of 30987792 is 29778903.

It is an interprime number because it is at equal distance from previous prime (30987791) and next prime (30987793).

It is not an unprimeable number, because it can be changed into a prime (30987791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1492 + ... + 8012.

It is an arithmetic number, because the mean of its divisors is an integer number (1213092).

Almost surely, 2^30987792 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 30987792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48523680).

30987792 is an abundant number, since it is smaller than the sum of its proper divisors (66059568).

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

30987792 is a wasteful number, since it uses less digits than its factorization.

30987792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6549 (or 6537 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 30987792 is about 5566.6679441116. The cubic root of 30987792 is about 314.0968232926.

The spelling of 30987792 in words is "thirty million, nine hundred eighty-seven thousand, seven hundred ninety-two".