29966304 has 48 divisors (see below), whose sum is σ = 79011072. Its totient is φ = 9944448.

The previous prime is 29966273. The next prime is 29966317. The reversal of 29966304 is 40366992.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26617 + ... + 27719.

It is an arithmetic number, because the mean of its divisors is an integer number (1646064).

Almost surely, 2^29966304 is an apocalyptic number.

29966304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

29966304 is an abundant number, since it is smaller than the sum of its proper divisors (49044768).

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

29966304 is a wasteful number, since it uses less digits than its factorization.

29966304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1399 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 39.

The square root of 29966304 is about 5474.1487009397. The cubic root of 29966304 is about 310.6068722274.

The spelling of 29966304 in words is "twenty-nine million, nine hundred sixty-six thousand, three hundred four".