29679900 has 144 divisors (see below), whose sum is σ = 93327360. Its totient is φ = 7257600.

The previous prime is 29679877. The next prime is 29679901. The reversal of 29679900 is 997692.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29679901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 233637 + ... + 233763.

Almost surely, 2^29679900 is an apocalyptic number.

29679900 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 29679900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46663680).

29679900 is an abundant number, since it is smaller than the sum of its proper divisors (63647460).

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

29679900 is a wasteful number, since it uses less digits than its factorization.

29679900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 42.

The square root of 29679900 is about 5447.9262109540. The cubic root of 29679900 is about 309.6141574895.

The spelling of 29679900 in words is "twenty-nine million, six hundred seventy-nine thousand, nine hundred".