30668976 has 160 divisors (see below), whose sum is σ = 97771520. Its totient is φ = 9144576.

The previous prime is 30668929. The next prime is 30668987. The reversal of 30668976 is 67986603.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 241425 + ... + 241551.

It is an arithmetic number, because the mean of its divisors is an integer number (611072).

Almost surely, 2^30668976 is an apocalyptic number.

30668976 is a gapful number since it is divisible by the number (36) 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 30668976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48885760).

30668976 is an abundant number, since it is smaller than the sum of its proper divisors (67102544).

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

30668976 is a wasteful number, since it uses less digits than its factorization.

30668976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 30668976 is about 5537.9577463177. The cubic root of 30668976 is about 313.0159191922.

It can be divided in two parts, 30 and 668976, that multiplied together give a triangular number (20069280 = T₆₃₃₅).

The spelling of 30668976 in words is "thirty million, six hundred sixty-eight thousand, nine hundred seventy-six".