29966640 has 80 divisors (see below), whose sum is σ = 101350656. Its totient is φ = 7264000.

The previous prime is 29966627. The next prime is 29966641. The reversal of 29966640 is 4666992.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 29966592 and 29966601.

It is not an unprimeable number, because it can be changed into a prime (29966641) 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, 3036 + ... + 8315.

Almost surely, 2^29966640 is an apocalyptic number.

29966640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29966640 is an abundant number, since it is smaller than the sum of its proper divisors (71384016).

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

29966640 is a wasteful number, since it uses less digits than its factorization.

29966640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11378 (or 11372 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 29966640 is about 5474.1793905571. The cubic root of 29966640 is about 310.6080331260.

It can be divided in two parts, 29 and 966640, that added together give a palindrome (966669).

The spelling of 29966640 in words is "twenty-nine million, nine hundred sixty-six thousand, six hundred forty".