980144064 has 140 divisors (see below), whose sum is σ = 2973698904. Its totient is φ = 319044096.

The previous prime is 980144047. The next prime is 980144069. The reversal of 980144064 is 460441089.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (980144069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 220714 + ... + 225110.

Almost surely, 2^980144064 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 980144064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1486849452).

980144064 is an abundant number, since it is smaller than the sum of its proper divisors (1993554840).

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

980144064 is a wasteful number, since it uses less digits than its factorization.

980144064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4464 (or 4445 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 980144064 is about 31307.2525782765. The cubic root of 980144064 is about 993.3370584769.

The spelling of 980144064 in words is "nine hundred eighty million, one hundred forty-four thousand, sixty-four".