29914920 has 160 divisors (see below), whose sum is σ = 114998400. Its totient is φ = 6832512.

The previous prime is 29914867. The next prime is 29914931. The reversal of 29914920 is 2941992.

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 39 ways as a sum of consecutive naturals, for example, 22021 + ... + 23339.

It is an arithmetic number, because the mean of its divisors is an integer number (718740).

Almost surely, 2^29914920 is an apocalyptic number.

29914920 is a gapful number since it is divisible by the number (20) 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 29914920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57499200).

29914920 is an abundant number, since it is smaller than the sum of its proper divisors (85083480).

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

29914920 is a wasteful number, since it uses less digits than its factorization.

29914920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1349 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 29914920 is about 5469.4533547696. The cubic root of 29914920 is about 310.4292354314.

The spelling of 29914920 in words is "twenty-nine million, nine hundred fourteen thousand, nine hundred twenty".