29990952 has 64 divisors (see below), whose sum is σ = 85272000. Its totient is φ = 9761472.

The previous prime is 29990929. The next prime is 29990957. The reversal of 29990952 is 25909992.

It is a super-3 number, since 3×29990952³ (a number of 23 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 29990898 and 29990907.

It is not an unprimeable number, because it can be changed into a prime (29990957) 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, 7674 + ... + 10902.

It is an arithmetic number, because the mean of its divisors is an integer number (1332375).

Almost surely, 2^29990952 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 29990952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42636000).

29990952 is an abundant number, since it is smaller than the sum of its proper divisors (55281048).

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

29990952 is a wasteful number, since it uses less digits than its factorization.

29990952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3287 (or 3277 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 45.

The square root of 29990952 is about 5476.3995471477. The cubic root of 29990952 is about 310.6920094103.

The spelling of 29990952 in words is "twenty-nine million, nine hundred ninety thousand, nine hundred fifty-two".