29870720 has 64 divisors (see below), whose sum is σ = 77919840. Its totient is φ = 10859520.

The previous prime is 29870719. The next prime is 29870741. The reversal of 29870720 is 2707892.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

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, 4919 + ... + 9161.

Almost surely, 2^29870720 is an apocalyptic number.

29870720 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 29870720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38959920).

29870720 is an abundant number, since it is smaller than the sum of its proper divisors (48049120).

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

29870720 is a wasteful number, since it uses less digits than its factorization.

29870720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4273 (or 4261 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 35.

The square root of 29870720 is about 5465.4112379582. The cubic root of 29870720 is about 310.2762712311.

The spelling of 29870720 in words is "twenty-nine million, eight hundred seventy thousand, seven hundred twenty".