29962668 has 48 divisors (see below), whose sum is σ = 71971200. Its totient is φ = 9698304.

The previous prime is 29962663. The next prime is 29962679. The reversal of 29962668 is 86626992.

It is a super-2 number, since 2×29962668² = 1795522947356448, which contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (29962661) 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, 66508 + ... + 66956.

It is an arithmetic number, because the mean of its divisors is an integer number (1499400).

Almost surely, 2^29962668 is an apocalyptic number.

It is an amenable number.

29962668 is an abundant number, since it is smaller than the sum of its proper divisors (42008532).

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

29962668 is a wasteful number, since it uses less digits than its factorization.

29962668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 604 counting only the distinct ones).

The product of its digits is 559872, while the sum is 48.

The square root of 29962668 is about 5473.8165844317. The cubic root of 29962668 is about 310.5943090913.

The spelling of 29962668 in words is "twenty-nine million, nine hundred sixty-two thousand, six hundred sixty-eight".