11150400 has 168 divisors, whose sum is σ = 38551104. Its totient is φ = 2816000.

The previous prime is 11150393. The next prime is 11150407. The reversal of 11150400 is 405111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11150393) and next prime (11150407).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (11150407) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 110350 + ... + 110450.

Almost surely, 2^11150400 is an apocalyptic number.

11150400 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 11150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19275552).

11150400 is an abundant number, since it is smaller than the sum of its proper divisors (27400704).

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

11150400 is a wasteful number, since it uses less digits than its factorization.

11150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 11150400 is about 3339.2214661505. The cubic root of 11150400 is about 223.4070200652.

Adding to 11150400 its reverse (405111), we get a palindrome (11555511).

The spelling of 11150400 in words is "eleven million, one hundred fifty thousand, four hundred".