29942032 has 80 divisors (see below), whose sum is σ = 65567232. Its totient is φ = 13178880.

The previous prime is 29942023. The next prime is 29942039. The reversal of 29942032 is 23024992.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 29941985 and 29942003.

It is not an unprimeable number, because it can be changed into a prime (29942039) 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, 446863 + ... + 446929.

Almost surely, 2^29942032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29942032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32783616).

29942032 is an abundant number, since it is smaller than the sum of its proper divisors (35625200).

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

29942032 is a wasteful number, since it uses less digits than its factorization.

29942032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 29942032 is about 5471.9312861183. The cubic root of 29942032 is about 310.5229881599.

The spelling of 29942032 in words is "twenty-nine million, nine hundred forty-two thousand, thirty-two".