29970864 has 320 divisors, whose sum is σ = 115706880. Its totient is φ = 7188480.

The previous prime is 29970827. The next prime is 29970887. The reversal of 29970864 is 46807992.

It is a happy number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 565462 + ... + 565514.

It is an arithmetic number, because the mean of its divisors is an integer number (361584).

Almost surely, 2^29970864 is an apocalyptic number.

29970864 is a gapful number since it is divisible by the number (24) 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 29970864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57853440).

29970864 is an abundant number, since it is smaller than the sum of its proper divisors (85736016).

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

29970864 is a wasteful number, since it uses less digits than its factorization.

29970864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 29970864 is about 5474.5651882136. The cubic root of 29970864 is about 310.6226265393.

The spelling of 29970864 in words is "twenty-nine million, nine hundred seventy thousand, eight hundred sixty-four".