29700864 has 72 divisors (see below), whose sum is σ = 87851120. Its totient is φ = 9897984.

The previous prime is 29700859. The next prime is 29700877. The reversal of 29700864 is 46800792.

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

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

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, 4764 + ... + 9060.

Almost surely, 2^29700864 is an apocalyptic number.

29700864 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 29700864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43925560).

29700864 is an abundant number, since it is smaller than the sum of its proper divisors (58150256).

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

29700864 is an equidigital number, since it uses as much as digits as its factorization.

29700864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4322 (or 4302 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 29700864 is about 5449.8499061901. The cubic root of 29700864 is about 309.6870376045.

The spelling of 29700864 in words is "twenty-nine million, seven hundred thousand, eight hundred sixty-four".