29379920 has 40 divisors (see below), whose sum is σ = 68719560. Its totient is φ = 11681280.

The previous prime is 29379913. The next prime is 29380019. The reversal of 29379920 is 2997392.

It can be written as a sum of positive squares in 4 ways, for example, as 3083536 + 26296384 = 1756^2 + 5128^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13466 + ... + 15494.

It is an arithmetic number, because the mean of its divisors is an integer number (1717989).

Almost surely, 2^29379920 is an apocalyptic number.

29379920 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 29379920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34359780).

29379920 is an abundant number, since it is smaller than the sum of its proper divisors (39339640).

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

29379920 is a wasteful number, since it uses less digits than its factorization.

29379920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2223 (or 2217 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 41.

The square root of 29379920 is about 5420.3247135204. The cubic root of 29379920 is about 308.5675149742.

The spelling of 29379920 in words is "twenty-nine million, three hundred seventy-nine thousand, nine hundred twenty".