29981160 has 192 divisors, whose sum is σ = 108838080. Its totient is φ = 7096320.

The previous prime is 29981153. The next prime is 29981207. The reversal of 29981160 is 6118992.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 265264 + ... + 265376.

It is an arithmetic number, because the mean of its divisors is an integer number (566865).

Almost surely, 2^29981160 is an apocalyptic number.

29981160 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 29981160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54419040).

29981160 is an abundant number, since it is smaller than the sum of its proper divisors (78856920).

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

29981160 is a wasteful number, since it uses less digits than its factorization.

29981160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 29981160 is about 5475.5054561200. The cubic root of 29981160 is about 310.6581922408.

It can be divided in two parts, 29 and 981160, that added together give a palindrome (981189).

The spelling of 29981160 in words is "twenty-nine million, nine hundred eighty-one thousand, one hundred sixty".