980508672 has 448 divisors, whose sum is σ = 3523000320. Its totient is φ = 265420800.

The previous prime is 980508667. The next prime is 980508679. The reversal of 980508672 is 276805089.

980508672 is a `hidden beast` number, since 9 + 80 + 508 + 67 + 2 = 666.

It is a super-2 number, since 2×980508672² = 1922794511734407168, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (980508679) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31629297 + ... + 31629327.

It is an arithmetic number, because the mean of its divisors is an integer number (7863840).

Almost surely, 2^980508672 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 980508672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1761500160).

980508672 is an abundant number, since it is smaller than the sum of its proper divisors (2542491648).

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

980508672 is a wasteful number, since it uses less digits than its factorization.

980508672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 980508672 is about 31313.0750965152. The cubic root of 980508672 is about 993.4602151132.

The spelling of 980508672 in words is "nine hundred eighty million, five hundred eight thousand, six hundred seventy-two".