30264880 has 40 divisors (see below), whose sum is σ = 70866000. Its totient is φ = 12019968.

The previous prime is 30264863. The next prime is 30264881. The reversal of 30264880 is 8846203.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×30264880² = 1831925922828800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (30264881) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 10651 + ... + 13189.

It is an arithmetic number, because the mean of its divisors is an integer number (1771650).

Almost surely, 2^30264880 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 30264880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35433000).

30264880 is an abundant number, since it is smaller than the sum of its proper divisors (40601120).

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

30264880 is a wasteful number, since it uses less digits than its factorization.

30264880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2701 (or 2695 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 30264880 is about 5501.3525609617. The cubic root of 30264880 is about 311.6350653169.

The spelling of 30264880 in words is "thirty million, two hundred sixty-four thousand, eight hundred eighty".