1091968000 has 176 divisors, whose sum is σ = 2873988000. Its totient is φ = 412876800.

The previous prime is 1091967997. The next prime is 1091968067. The reversal of 1091968000 is 8691901.

It is a super-2 number, since 2×1091968000² = 2384788226048000000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2431776 + ... + 2432224.

Almost surely, 2^1091968000 is an apocalyptic number.

1091968000 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 1091968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436994000).

1091968000 is an abundant number, since it is smaller than the sum of its proper divisors (1782020000).

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

1091968000 is an equidigital number, since it uses as much as digits as its factorization.

1091968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 34.

The square root of 1091968000 is about 33044.9390981433. The cubic root of 1091968000 is about 1029.7614679989.

The spelling of 1091968000 in words is "one billion, ninety-one million, nine hundred sixty-eight thousand".