29442960 has 160 divisors (see below), whose sum is σ = 104100480. Its totient is φ = 7644672.

The previous prime is 29442953. The next prime is 29442977. The reversal of 29442960 is 6924492.

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 31 ways as a sum of consecutive naturals, for example, 92722 + ... + 93038.

It is an arithmetic number, because the mean of its divisors is an integer number (650628).

Almost surely, 2^29442960 is an apocalyptic number.

29442960 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 29442960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52050240).

29442960 is an abundant number, since it is smaller than the sum of its proper divisors (74657520).

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

29442960 is a wasteful number, since it uses less digits than its factorization.

29442960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 29442960 is about 5426.1367472632. The cubic root of 29442960 is about 308.7880533558.

The spelling of 29442960 in words is "twenty-nine million, four hundred forty-two thousand, nine hundred sixty".