996735600 has 360 divisors, whose sum is σ = 4063723040. Its totient is φ = 221460480.

The previous prime is 996735587. The next prime is 996735631. The reversal of 996735600 is 6537699.

996735600 is a `hidden beast` number, since 9 + 9 + 6 + 7 + 35 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 931866 + ... + 932934.

Almost surely, 2^996735600 is an apocalyptic number.

996735600 is a gapful number since it is divisible by the number (90) 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 996735600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2031861520).

996735600 is an abundant number, since it is smaller than the sum of its proper divisors (3066987440).

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

996735600 is a wasteful number, since it uses less digits than its factorization.

996735600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The square root of 996735600 is about 31571.1197140678. The cubic root of 996735600 is about 998.9106804805.

The spelling of 996735600 in words is "nine hundred ninety-six million, seven hundred thirty-five thousand, six hundred".