1992096000 has 216 divisors, whose sum is σ = 7169178744. Its totient is φ = 531148800.

The previous prime is 1992095993. The next prime is 1992096019. The reversal of 1992096000 is 6902991.

It can be written as a sum of positive squares in 4 ways, for example, as 37748736 + 1954347264 = 6144^2 + 44208^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 284542 + ... + 291458.

Almost surely, 2^1992096000 is an apocalyptic number.

1992096000 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 1992096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3584589372).

1992096000 is an abundant number, since it is smaller than the sum of its proper divisors (5177082744).

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

1992096000 is an equidigital number, since it uses as much as digits as its factorization.

1992096000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6954 (or 6927 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 1992096000 is about 44632.9026616016. The cubic root of 1992096000 is about 1258.2591226598.

Adding to 1992096000 its reverse (6902991), we get a palindrome (1998998991).

It can be divided in two parts, 199209 and 6000, that added together give a square (205209 = 453²).

The spelling of 1992096000 in words is "one billion, nine hundred ninety-two million, ninety-six thousand".