30668904 has 72 divisors (see below), whose sum is σ = 96633810. Its totient is φ = 8761536.

The previous prime is 30668903. The next prime is 30668929. The reversal of 30668904 is 40986603.

It can be written as a sum of positive squares in only one way, i.e., 30272004 + 396900 = 5502^2 + 630^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×30668904² = 1881163345122432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (30668903) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 819 + ... + 7874.

Almost surely, 2^30668904 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 30668904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48316905).

30668904 is an abundant number, since it is smaller than the sum of its proper divisors (65964906).

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

30668904 is a wasteful number, since it uses less digits than its factorization.

30668904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8719 (or 8705 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 30668904 is about 5537.9512457226. The cubic root of 30668904 is about 313.0156742415.

The spelling of 30668904 in words is "thirty million, six hundred sixty-eight thousand, nine hundred four".