29881200 has 120 divisors (see below), whose sum is σ = 98452528. Its totient is φ = 7741440.

The previous prime is 29881193. The next prime is 29881213. The reversal of 29881200 is 218892.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×29881200² = 1785772226880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44064 + ... + 44736.

Almost surely, 2^29881200 is an apocalyptic number.

29881200 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 29881200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49226264).

29881200 is an abundant number, since it is smaller than the sum of its proper divisors (68571328).

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

29881200 is a wasteful number, since it uses less digits than its factorization.

29881200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 29881200 is about 5466.3699106445. The cubic root of 29881200 is about 310.3125533062.

The spelling of 29881200 in words is "twenty-nine million, eight hundred eighty-one thousand, two hundred".