11622400 has 72 divisors (see below), whose sum is σ = 28943460. Its totient is φ = 4628480.

The previous prime is 11622379. The next prime is 11622419. The reversal of 11622400 is 422611.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 51087 + ... + 51313.

Almost surely, 2^11622400 is an apocalyptic number.

11622400 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 11622400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14471730).

11622400 is an abundant number, since it is smaller than the sum of its proper divisors (17321060).

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

11622400 is an equidigital number, since it uses as much as digits as its factorization.

11622400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 11622400 is about 3409.1641204260. The cubic root of 11622400 is about 226.5158550823.

The spelling of 11622400 in words is "eleven million, six hundred twenty-two thousand, four hundred".