975998016 has 336 divisors, whose sum is σ = 3509101440. Its totient is φ = 252887040.

The previous prime is 975997963. The next prime is 975998029. The reversal of 975998016 is 610899579.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1987531 + ... + 1988021.

Almost surely, 2^975998016 is an apocalyptic number.

975998016 is a gapful number since it is divisible by the number (96) 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 975998016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1754550720).

975998016 is an abundant number, since it is smaller than the sum of its proper divisors (2533103424).

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

975998016 is a wasteful number, since it uses less digits than its factorization.

975998016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 54.

The square root of 975998016 is about 31240.9669504643. The cubic root of 975998016 is about 991.9344606371.

It can be divided in two parts, 975 and 998016, that added together give a triangular number (998991 = T₁₄₁₃).

The spelling of 975998016 in words is "nine hundred seventy-five million, nine hundred ninety-eight thousand, sixteen".