29932980 has 288 divisors, whose sum is σ = 114401280. Its totient is φ = 5702400.

The previous prime is 29932957. The next prime is 29932997. The reversal of 29932980 is 8923992.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 965565 + ... + 965595.

Almost surely, 2^29932980 is an apocalyptic number.

29932980 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 29932980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57200640).

29932980 is an abundant number, since it is smaller than the sum of its proper divisors (84468300).

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

29932980 is a wasteful number, since it uses less digits than its factorization.

29932980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 29932980 is about 5471.1040933252. The cubic root of 29932980 is about 310.4916928291.

The spelling of 29932980 in words is "twenty-nine million, nine hundred thirty-two thousand, nine hundred eighty".