11426800 has 180 divisors, whose sum is σ = 35495496. Its totient is φ = 3494400.

The previous prime is 11426761. The next prime is 11426801. The reversal of 11426800 is 862411.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11426801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 215574 + ... + 215626.

It is a vampire number, since it can be written as 1400 ⋅ 8162 (with its own digits).

Almost surely, 2^11426800 is an apocalyptic number.

11426800 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 11426800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17747748).

11426800 is an abundant number, since it is smaller than the sum of its proper divisors (24068696).

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

11426800 is a wasteful number, since it uses less digits than its factorization.

11426800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 11426800 is about 3380.3550109419. The cubic root of 11426800 is about 225.2379375926.

The spelling of 11426800 in words is "eleven million, four hundred twenty-six thousand, eight hundred".