29638980 has 96 divisors (see below), whose sum is σ = 105396480. Its totient is φ = 6773760.

The previous prime is 29638979. The next prime is 29639009. The reversal of 29638980 is 8983692.

29638980 is a `hidden beast` number, since 2 + 9 + 638 + 9 + 8 + 0 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 141 + ... + 7700.

It is an arithmetic number, because the mean of its divisors is an integer number (1097880).

Almost surely, 2^29638980 is an apocalyptic number.

29638980 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 29638980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52698240).

29638980 is an abundant number, since it is smaller than the sum of its proper divisors (75757500).

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

29638980 is a wasteful number, since it uses less digits than its factorization.

29638980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7866 (or 7858 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 29638980 is about 5444.1693581299. The cubic root of 29638980 is about 309.4718025818.

The spelling of 29638980 in words is "twenty-nine million, six hundred thirty-eight thousand, nine hundred eighty".