980115675 has 192 divisors, whose sum is σ = 2166718464. Its totient is φ = 378892800.

The previous prime is 980115667. The next prime is 980115677. The reversal of 980115675 is 576511089.

980115675 = T₃₄ + T₃₅ + ... + T₁₈₀₄.

980115675 is a nontrivial binomial coefficient, being equal to C(44275, 2).

It is not a de Polignac number, because 980115675 - 2³ = 980115667 is a prime.

It is not an unprimeable number, because it can be changed into a prime (980115677) 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 191 ways as a sum of consecutive naturals, for example, 6242697 + ... + 6242853.

It is an arithmetic number, because the mean of its divisors is an integer number (11284992).

Almost surely, 2^980115675 is an apocalyptic number.

980115675 is the 44274-th triangular number.

980115675 is an abundant number, since it is smaller than the sum of its proper divisors (1186602789).

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

980115675 is a wasteful number, since it uses less digits than its factorization.

980115675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 42.

The square root of 980115675 is about 31306.7991816474. The cubic root of 980115675 is about 993.3274680098.

The spelling of 980115675 in words is "nine hundred eighty million, one hundred fifteen thousand, six hundred seventy-five".