29893920 has 288 divisors, whose sum is σ = 115831296. Its totient is φ = 6451200.

The previous prime is 29893883. The next prime is 29893931. The reversal of 29893920 is 2939892.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 729100 + ... + 729140.

It is an arithmetic number, because the mean of its divisors is an integer number (402192).

Almost surely, 2^29893920 is an apocalyptic number.

29893920 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 29893920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57915648).

29893920 is an abundant number, since it is smaller than the sum of its proper divisors (85937376).

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

29893920 is a wasteful number, since it uses less digits than its factorization.

29893920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 29893920 is about 5467.5332646450. The cubic root of 29893920 is about 310.3565789335.

The spelling of 29893920 in words is "twenty-nine million, eight hundred ninety-three thousand, nine hundred twenty".