29668380 has 48 divisors (see below), whose sum is σ = 94940160. Its totient is φ = 6781248.

The previous prime is 29668357. The next prime is 29668391. The reversal of 29668380 is 8386692.

29668380 = 655² + 656² + ... + 717².

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 34900 + ... + 35739.

It is an arithmetic number, because the mean of its divisors is an integer number (1977920).

Almost surely, 2^29668380 is an apocalyptic number.

29668380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29668380 is an abundant number, since it is smaller than the sum of its proper divisors (65271780).

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

29668380 is a wasteful number, since it uses less digits than its factorization.

29668380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70658 (or 70656 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 29668380 is about 5446.8688252977. The cubic root of 29668380 is about 309.5740942743.

The spelling of 29668380 in words is "twenty-nine million, six hundred sixty-eight thousand, three hundred eighty".