29952880 has 40 divisors (see below), whose sum is σ = 70098192. Its totient is φ = 11902464.

The previous prime is 29952847. The next prime is 29952889. The reversal of 29952880 is 8825992.

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

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29952889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11892 + ... + 14188.

Almost surely, 2^29952880 is an apocalyptic number.

29952880 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 29952880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35049096).

29952880 is an abundant number, since it is smaller than the sum of its proper divisors (40145312).

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

29952880 is a wasteful number, since it uses less digits than its factorization.

29952880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2473 (or 2467 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 43.

The square root of 29952880 is about 5472.9224368705. The cubic root of 29952880 is about 310.5604844644.

The spelling of 29952880 in words is "twenty-nine million, nine hundred fifty-two thousand, eight hundred eighty".