980510160 has 320 divisors, whose sum is σ = 3652337664. Its totient is φ = 212889600.

The previous prime is 980510149. The next prime is 980510183. The reversal of 980510160 is 61015089.

It is a happy number.

980510160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×980510160² = 1922800347726451200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3489220 + ... + 3489500.

Almost surely, 2^980510160 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 980510160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1826168832).

980510160 is an abundant number, since it is smaller than the sum of its proper divisors (2671827504).

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

980510160 is a wasteful number, since it uses less digits than its factorization.

980510160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 30.

The square root of 980510160 is about 31313.0988565488. The cubic root of 980510160 is about 993.4607176646.

The spelling of 980510160 in words is "nine hundred eighty million, five hundred ten thousand, one hundred sixty".