980149824 has 168 divisors, whose sum is σ = 2995574400. Its totient is φ = 305344512.

The previous prime is 980149823. The next prime is 980149861. The reversal of 980149824 is 428941089.

980149824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 980149824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (980149823) 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, 1948357 + ... + 1948859.

It is an arithmetic number, because the mean of its divisors is an integer number (17830800).

Almost surely, 2^980149824 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 980149824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497787200).

980149824 is an abundant number, since it is smaller than the sum of its proper divisors (2015424576).

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

980149824 is a wasteful number, since it uses less digits than its factorization.

980149824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 980149824 is about 31307.3445696054. The cubic root of 980149824 is about 993.3390043168.

The spelling of 980149824 in words is "nine hundred eighty million, one hundred forty-nine thousand, eight hundred twenty-four".