29713920 has 160 divisors (see below), whose sum is σ = 98109792. Its totient is φ = 7667712.

The previous prime is 29713919. The next prime is 29713927. The reversal of 29713920 is 2931792.

29713920 = 194² + 195² + ... + 458².

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29713927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 407004 + ... + 407076.

Almost surely, 2^29713920 is an apocalyptic number.

29713920 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 29713920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49054896).

29713920 is an abundant number, since it is smaller than the sum of its proper divisors (68395872).

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

29713920 is an equidigital number, since it uses as much as digits as its factorization.

29713920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 29713920 is about 5451.0476057360. The cubic root of 29713920 is about 309.7324086938.

The spelling of 29713920 in words is "twenty-nine million, seven hundred thirteen thousand, nine hundred twenty".