11251600 has 60 divisors (see below), whose sum is σ = 28230336. Its totient is φ = 4301440.

The previous prime is 11251579. The next prime is 11251601. The reversal of 11251600 is 615211.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (11251601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8589 + ... + 9811.

Almost surely, 2^11251600 is an apocalyptic number.

11251600 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 11251600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14115168).

11251600 is an abundant number, since it is smaller than the sum of its proper divisors (16978736).

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

11251600 is a wasteful number, since it uses less digits than its factorization.

11251600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264 (or 1253 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 11251600 is about 3354.3404716874. The cubic root of 11251600 is about 224.0808594133.

Adding to 11251600 its reverse (615211), we get a palindrome (11866811).

The spelling of 11251600 in words is "eleven million, two hundred fifty-one thousand, six hundred".