30642900 has 72 divisors (see below), whose sum is σ = 92535744. Its totient is φ = 7814400.

The previous prime is 30642869. The next prime is 30642929. The reversal of 30642900 is 924603.

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, 4680 + ... + 9120.

Almost surely, 2^30642900 is an apocalyptic number.

30642900 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 30642900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46267872).

30642900 is an abundant number, since it is smaller than the sum of its proper divisors (61892844).

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

30642900 is a wasteful number, since it uses less digits than its factorization.

30642900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4481 (or 4474 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 30642900 is about 5535.6029481891. The cubic root of 30642900 is about 312.9271811194.

The spelling of 30642900 in words is "thirty million, six hundred forty-two thousand, nine hundred".