29980160 has 120 divisors (see below), whose sum is σ = 83967840. Its totient is φ = 10235904.

The previous prime is 29980127. The next prime is 29980183. The reversal of 29980160 is 6108992.

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 29980160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 125321 + ... + 125559.

It is an arithmetic number, because the mean of its divisors is an integer number (699732).

Almost surely, 2^29980160 is an apocalyptic number.

29980160 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 29980160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41983920).

29980160 is an abundant number, since it is smaller than the sum of its proper divisors (53987680).

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

29980160 is an equidigital number, since it uses as much as digits as its factorization.

29980160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 35.

The square root of 29980160 is about 5475.4141395880. The cubic root of 29980160 is about 310.6547382757.

The spelling of 29980160 in words is "twenty-nine million, nine hundred eighty thousand, one hundred sixty".