980148960 has 432 divisors, whose sum is σ = 4033411200. Its totient is φ = 215857152.

The previous prime is 980148947. The next prime is 980149007. The reversal of 980148960 is 69841089.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2046001 + ... + 2046479.

It is an arithmetic number, because the mean of its divisors is an integer number (9336600).

Almost surely, 2^980148960 is an apocalyptic number.

980148960 is a gapful number since it is divisible by the number (90) 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 980148960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2016705600).

980148960 is an abundant number, since it is smaller than the sum of its proper divisors (3053262240).

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

980148960 is a wasteful number, since it uses less digits than its factorization.

980148960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 980148960 is about 31307.3307709233. The cubic root of 980148960 is about 993.3387124413.

The spelling of 980148960 in words is "nine hundred eighty million, one hundred forty-eight thousand, nine hundred sixty".