30572880 has 160 divisors (see below), whose sum is σ = 104993280. Its totient is φ = 7311360.

The previous prime is 30572879. The next prime is 30572887. The reversal of 30572880 is 8827503.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30572887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127801 + ... + 128039.

It is an arithmetic number, because the mean of its divisors is an integer number (656208).

Almost surely, 2^30572880 is an apocalyptic number.

30572880 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 30572880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52496640).

30572880 is an abundant number, since it is smaller than the sum of its proper divisors (74420400).

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

30572880 is a wasteful number, since it uses less digits than its factorization.

30572880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 30572880 is about 5529.2748168272. The cubic root of 30572880 is about 312.6886498264.

The spelling of 30572880 in words is "thirty million, five hundred seventy-two thousand, eight hundred eighty".