29979264 has 128 divisors (see below), whose sum is σ = 95961600. Its totient is φ = 8100864.

The previous prime is 29979227. The next prime is 29979277. The reversal of 29979264 is 46297992.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50779 + ... + 51365.

It is an arithmetic number, because the mean of its divisors is an integer number (749700).

Almost surely, 2^29979264 is an apocalyptic number.

29979264 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 29979264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47980800).

29979264 is an abundant number, since it is smaller than the sum of its proper divisors (65982336).

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

29979264 is a wasteful number, since it uses less digits than its factorization.

29979264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 618 counting only the distinct ones).

The product of its digits is 489888, while the sum is 48.

The square root of 29979264 is about 5475.3323186817. The cubic root of 29979264 is about 310.6516434576.

The spelling of 29979264 in words is "twenty-nine million, nine hundred seventy-nine thousand, two hundred sixty-four".