30827904 has 64 divisors (see below), whose sum is σ = 83835840. Its totient is φ = 10031616.

The previous prime is 30827903. The next prime is 30827959. The reversal of 30827904 is 40972803.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30827903) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 15579 + ... + 17445.

It is an arithmetic number, because the mean of its divisors is an integer number (1309935).

Almost surely, 2^30827904 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 30827904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41917920).

30827904 is an abundant number, since it is smaller than the sum of its proper divisors (53007936).

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

30827904 is a wasteful number, since it uses less digits than its factorization.

30827904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1927 (or 1915 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 30827904 is about 5552.2881769591. The cubic root of 30827904 is about 313.5556753958. Note that the first 3 decimals are identical.

The spelling of 30827904 in words is "thirty million, eight hundred twenty-seven thousand, nine hundred four".