29949920 has 288 divisors, whose sum is σ = 101352384. Its totient is φ = 8110080.

The previous prime is 29949919. The next prime is 29949943. The reversal of 29949920 is 2994992.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

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, 1761752 + ... + 1761768.

It is an arithmetic number, because the mean of its divisors is an integer number (351918).

Almost surely, 2^29949920 is an apocalyptic number.

29949920 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 29949920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50676192).

29949920 is an abundant number, since it is smaller than the sum of its proper divisors (71402464).

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

29949920 is a wasteful number, since it uses less digits than its factorization.

29949920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 44.

The square root of 29949920 is about 5472.6520079391. The cubic root of 29949920 is about 310.5502540701.

It can be divided in two parts, 29 and 949920, that added together give a palindrome (949949).

The spelling of 29949920 in words is "twenty-nine million, nine hundred forty-nine thousand, nine hundred twenty".