10996800 has 168 divisors, whose sum is σ = 37795200. Its totient is φ = 2795520.

The previous prime is 10996789. The next prime is 10996823. The reversal of 10996800 is 869901.

It is a happy number.

It is a super-2 number, since 2×10996800² = 241859220480000, which contains 22 as substring.

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, 139161 + ... + 139239.

Almost surely, 2^10996800 is an apocalyptic number.

10996800 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 10996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18897600).

10996800 is an abundant number, since it is smaller than the sum of its proper divisors (26798400).

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

10996800 is a wasteful number, since it uses less digits than its factorization.

10996800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 10996800 is about 3316.1423371140. The cubic root of 10996800 is about 222.3764410978.

The spelling of 10996800 in words is "ten million, nine hundred ninety-six thousand, eight hundred".