30864960 has 168 divisors, whose sum is σ = 121407936. Its totient is φ = 7050240.

The previous prime is 30864941. The next prime is 30864989. The reversal of 30864960 is 6946803.

30864960 is a `hidden beast` number, since 3 + 0 + 8 + 649 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19395 + ... + 20925.

Almost surely, 2^30864960 is an apocalyptic number.

30864960 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 30864960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60703968).

30864960 is an abundant number, since it is smaller than the sum of its proper divisors (90542976).

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

30864960 is a wasteful number, since it uses less digits than its factorization.

30864960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1561 (or 1548 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 30864960 is about 5555.6241773540. The cubic root of 30864960 is about 313.6812593117.

The spelling of 30864960 in words is "thirty million, eight hundred sixty-four thousand, nine hundred sixty".