29693920 has 48 divisors (see below), whose sum is σ = 73211040. Its totient is φ = 11359744.

The previous prime is 29693879. The next prime is 29693921. The reversal of 29693920 is 2939692.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29693921) 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, 355 + ... + 7714.

It is an arithmetic number, because the mean of its divisors is an integer number (1525230).

Almost surely, 2^29693920 is an apocalyptic number.

29693920 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 29693920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36605520).

29693920 is an abundant number, since it is smaller than the sum of its proper divisors (43517120).

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

29693920 is a wasteful number, since it uses less digits than its factorization.

29693920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8107 (or 8099 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 40.

The square root of 29693920 is about 5449.2127871831. The cubic root of 29693920 is about 309.6629009957.

It can be divided in two parts, 2969 and 3920, that added together give a square (6889 = 83²).

The spelling of 29693920 in words is "twenty-nine million, six hundred ninety-three thousand, nine hundred twenty".