30964080 has 120 divisors (see below), whose sum is σ = 111702672. Its totient is φ = 7074816.

The previous prime is 30964013. The next prime is 30964097. The reversal of 30964080 is 8046903.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 10444 + ... + 13076.

Almost surely, 2^30964080 is an apocalyptic number.

30964080 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 30964080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55851336).

30964080 is an abundant number, since it is smaller than the sum of its proper divisors (80738592).

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

30964080 is a wasteful number, since it uses less digits than its factorization.

30964080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2663 (or 2650 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 30964080 is about 5564.5377166482. The cubic root of 30964080 is about 314.0166867408.

The spelling of 30964080 in words is "thirty million, nine hundred sixty-four thousand, eighty".