980129360 has 160 divisors (see below), whose sum is σ = 2774822400. Its totient is φ = 321226752.

The previous prime is 980129347. The next prime is 980129363. The reversal of 980129360 is 63921089.

980129360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (980129363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 630344 + ... + 631896.

It is an arithmetic number, because the mean of its divisors is an integer number (17342640).

Almost surely, 2^980129360 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 980129360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1387411200).

980129360 is an abundant number, since it is smaller than the sum of its proper divisors (1794693040).

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

980129360 is a wasteful number, since it uses less digits than its factorization.

980129360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1610 (or 1590 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 38.

The square root of 980129360 is about 31307.0177436306. The cubic root of 980129360 is about 993.3320911455.

The spelling of 980129360 in words is "nine hundred eighty million, one hundred twenty-nine thousand, three hundred sixty".