996250752 has 480 divisors, whose sum is σ = 3608924220. Its totient is φ = 271724544.

The previous prime is 996250747. The next prime is 996250763. The reversal of 996250752 is 257052699.

996250752 is a `hidden beast` number, since 9 + 96 + 2 + 507 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 884229696 + 112021056 = 29736^2 + 10584^2 .

It is a junction number, because it is equal to n+sod(n) for n = 996250698 and 996250707.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 18797158 + ... + 18797210.

Almost surely, 2^996250752 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 996250752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1804462110).

996250752 is an abundant number, since it is smaller than the sum of its proper divisors (2612673468).

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

996250752 is a wasteful number, since it uses less digits than its factorization.

996250752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 996250752 is about 31563.4401166920. The cubic root of 996250752 is about 998.7486855319.

The spelling of 996250752 in words is "nine hundred ninety-six million, two hundred fifty thousand, seven hundred fifty-two".