980048160 has 576 divisors, whose sum is σ = 4284064512. Its totient is φ = 206032896.

The previous prime is 980048149. The next prime is 980048171. The reversal of 980048160 is 61840089.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (980048149) and next prime (980048171).

It is a super-3 number, since 3×980048160³ (a number of 28 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3537942 + ... + 3538218.

It is an arithmetic number, because the mean of its divisors is an integer number (7437612).

Almost surely, 2^980048160 is an apocalyptic number.

980048160 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 980048160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2142032256).

980048160 is an abundant number, since it is smaller than the sum of its proper divisors (3304016352).

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

980048160 is a wasteful number, since it uses less digits than its factorization.

980048160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 980048160 is about 31305.7208829313. The cubic root of 980048160 is about 993.3046591225.

The spelling of 980048160 in words is "nine hundred eighty million, forty-eight thousand, one hundred sixty".