29664768 has 160 divisors (see below), whose sum is σ = 94279680. Its totient is φ = 8110080.

The previous prime is 29664707. The next prime is 29664769. The reversal of 29664768 is 86746692.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29664769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 333268 + ... + 333356.

It is an arithmetic number, because the mean of its divisors is an integer number (589248).

Almost surely, 2^29664768 is an apocalyptic number.

29664768 is a gapful number since it is divisible by the number (28) 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 29664768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47139840).

29664768 is an abundant number, since it is smaller than the sum of its proper divisors (64614912).

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

29664768 is an equidigital number, since it uses as much as digits as its factorization.

29664768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 132 counting only the distinct ones).

The product of its digits is 870912, while the sum is 48.

The square root of 29664768 is about 5446.5372485644. The cubic root of 29664768 is about 309.5615306514.

The spelling of 29664768 in words is "twenty-nine million, six hundred sixty-four thousand, seven hundred sixty-eight".