29970080 has 48 divisors (see below), whose sum is σ = 80922240. Its totient is φ = 10275072.

The previous prime is 29970047. The next prime is 29970089. The reversal of 29970080 is 8007992.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 29970080.

It is not an unprimeable number, because it can be changed into a prime (29970089) 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, 12260 + ... + 14499.

It is an arithmetic number, because the mean of its divisors is an integer number (1685880).

Almost surely, 2^29970080 is an apocalyptic number.

29970080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29970080 is an abundant number, since it is smaller than the sum of its proper divisors (50952160).

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

29970080 is a wasteful number, since it uses less digits than its factorization.

29970080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26781 (or 26773 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 35.

The square root of 29970080 is about 5474.4935838852. The cubic root of 29970080 is about 310.6199180170.

The spelling of 29970080 in words is "twenty-nine million, nine hundred seventy thousand, eighty".