1096992000 has 432 divisors, whose sum is σ = 4265443728. Its totient is φ = 269107200.

The previous prime is 1096991989. The next prime is 1096992053. The reversal of 1096992000 is 2996901.

It can be written as a sum of positive squares in 8 ways, for example, as 275825664 + 821166336 = 16608^2 + 28656^2 .

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3743854 + ... + 3744146.

Almost surely, 2^1096992000 is an apocalyptic number.

1096992000 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 1096992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2132721864).

1096992000 is an abundant number, since it is smaller than the sum of its proper divisors (3168451728).

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

1096992000 is a wasteful number, since it uses less digits than its factorization.

1096992000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 316 counting only the distinct ones).

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

The square root of 1096992000 is about 33120.8695538025. The cubic root of 1096992000 is about 1031.3383175050.

The spelling of 1096992000 in words is "one billion, ninety-six million, nine hundred ninety-two thousand".