29996900 has 18 divisors (see below), whose sum is σ = 65093490. Its totient is φ = 11998720.

The previous prime is 29996893. The next prime is 29996903. The reversal of 29996900 is 969992.

It can be written as a sum of positive squares in 3 ways, for example, as 1779556 + 28217344 = 1334^2 + 5312^2 .

It is a super-2 number, since 2×29996900² = 1799628019220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (29996903) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 149885 + ... + 150084.

It is an arithmetic number, because the mean of its divisors is an integer number (3616305).

Almost surely, 2^29996900 is an apocalyptic number.

29996900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29996900 is an abundant number, since it is smaller than the sum of its proper divisors (35096590).

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

29996900 is a wasteful number, since it uses less digits than its factorization.

29996900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299983 (or 299976 counting only the distinct ones).

The product of its (nonzero) digits is 78732, while the sum is 44.

The square root of 29996900 is about 5476.9425777527. The cubic root of 29996900 is about 310.7125475370.

The spelling of 29996900 in words is "twenty-nine million, nine hundred ninety-six thousand, nine hundred".