30620800 has 96 divisors (see below), whose sum is σ = 86512320. Its totient is φ = 10490880.

The previous prime is 30620789. The next prime is 30620833. The reversal of 30620800 is 802603.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 21717 + ... + 23083.

It is an arithmetic number, because the mean of its divisors is an integer number (901170).

Almost surely, 2^30620800 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 30620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43256160).

30620800 is an abundant number, since it is smaller than the sum of its proper divisors (55891520).

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

30620800 is a wasteful number, since it uses less digits than its factorization.

30620800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1398 (or 1381 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 30620800 is about 5533.6064189640. The cubic root of 30620800 is about 312.8519341734.

The spelling of 30620800 in words is "thirty million, six hundred twenty thousand, eight hundred".