29920632 has 64 divisors (see below), whose sum is σ = 85958400. Its totient is φ = 8501760.

The previous prime is 29920621. The next prime is 29920637. The reversal of 29920632 is 23602992.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 29920593 and 29920602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29920637) 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, 40119 + ... + 40857.

It is an arithmetic number, because the mean of its divisors is an integer number (1343100).

Almost surely, 2^29920632 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 29920632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42979200).

29920632 is an abundant number, since it is smaller than the sum of its proper divisors (56037768).

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

29920632 is a wasteful number, since it uses less digits than its factorization.

29920632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 29920632 is about 5469.9755026874. The cubic root of 29920632 is about 310.4489921163.

The spelling of 29920632 in words is "twenty-nine million, nine hundred twenty thousand, six hundred thirty-two".