29673920 has 56 divisors (see below), whose sum is σ = 72201024. Its totient is φ = 11611136.

The previous prime is 29673893. The next prime is 29673929. The reversal of 29673920 is 2937692.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29673929) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14054 + ... + 16026.

It is an arithmetic number, because the mean of its divisors is an integer number (1289304).

Almost surely, 2^29673920 is an apocalyptic number.

29673920 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 29673920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36100512).

29673920 is an abundant number, since it is smaller than the sum of its proper divisors (42527104).

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

29673920 is a wasteful number, since it uses less digits than its factorization.

29673920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2037 (or 2027 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 38.

The square root of 29673920 is about 5447.3773506156. The cubic root of 29673920 is about 309.5933620799.

The spelling of 29673920 in words is "twenty-nine million, six hundred seventy-three thousand, nine hundred twenty".