1992885600 has 288 divisors, whose sum is σ = 6869560320. Its totient is φ = 500797440.

The previous prime is 1992885599. The next prime is 1992885613. The reversal of 1992885600 is 65882991.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1992885600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4360572 + ... + 4361028.

It is an arithmetic number, because the mean of its divisors is an integer number (23852640).

Almost surely, 2^1992885600 is an apocalyptic number.

1992885600 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 1992885600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3434780160).

1992885600 is an abundant number, since it is smaller than the sum of its proper divisors (4876674720).

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

1992885600 is a wasteful number, since it uses less digits than its factorization.

1992885600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 48.

The square root of 1992885600 is about 44641.7472776324. The cubic root of 1992885600 is about 1258.4253445966.

The spelling of 1992885600 in words is "one billion, nine hundred ninety-two million, eight hundred eighty-five thousand, six hundred".