29814980 has 36 divisors (see below), whose sum is σ = 67805892. Its totient is φ = 11007360.

The previous prime is 29814977. The next prime is 29814989. The reversal of 29814980 is 8941892.

It can be written as a sum of positive squares in 6 ways, for example, as 4393216 + 25421764 = 2096^2 + 5042^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29814989) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1031 + ... + 7790.

It is an arithmetic number, because the mean of its divisors is an integer number (1883497).

Almost surely, 2^29814980 is an apocalyptic number.

29814980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29814980 is an abundant number, since it is smaller than the sum of its proper divisors (37990912).

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

29814980 is a wasteful number, since it uses less digits than its factorization.

29814980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8856 (or 8841 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 41.

The square root of 29814980 is about 5460.3095150367. The cubic root of 29814980 is about 310.0831549383.

The spelling of 29814980 in words is "twenty-nine million, eight hundred fourteen thousand, nine hundred eighty".