1029980160 has 360 divisors, whose sum is σ = 3925748736. Its totient is φ = 247726080.

The previous prime is 1029980143. The next prime is 1029980167. The reversal of 1029980160 is 610899201.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is not an unprimeable number, because it can be changed into a prime (1029980167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8110017 + ... + 8110143.

Almost surely, 2^1029980160 is an apocalyptic number.

1029980160 is a gapful number since it is divisible by the number (10) 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 1029980160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1962874368).

1029980160 is an abundant number, since it is smaller than the sum of its proper divisors (2895768576).

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

1029980160 is a wasteful number, since it uses less digits than its factorization.

1029980160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 148 counting only the distinct ones).

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

The square root of 1029980160 is about 32093.3039745053. The cubic root of 1029980160 is about 1009.8951497208.

It can be divided in two parts, 1029 and 980160, that added together give a palindrome (981189).

The spelling of 1029980160 in words is "one billion, twenty-nine million, nine hundred eighty thousand, one hundred sixty".