1996117200 has 720 divisors, whose sum is σ = 9114892800. Its totient is φ = 391910400.

The previous prime is 1996117177. The next prime is 1996117229. The reversal of 1996117200 is 27116991.

1996117200 is a `hidden beast` number, since 19 + 9 + 611 + 7 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×1996117200² = 7968967752271680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 143 ways as a sum of consecutive naturals, for example, 5266611 + ... + 5266989.

Almost surely, 2^1996117200 is an apocalyptic number.

1996117200 is a gapful number since it is divisible by the number (10) 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 1996117200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4557446400).

1996117200 is an abundant number, since it is smaller than the sum of its proper divisors (7118775600).

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

1996117200 is a wasteful number, since it uses less digits than its factorization.

1996117200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 36.

The square root of 1996117200 is about 44677.9274362632. The cubic root of 1996117200 is about 1259.1051847846.

The spelling of 1996117200 in words is "one billion, nine hundred ninety-six million, one hundred seventeen thousand, two hundred".