11250624 has 112 divisors (see below), whose sum is σ = 37161216. Its totient is φ = 2918400.

The previous prime is 11250599. The next prime is 11250643. The reversal of 11250624 is 42605211.

11250624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 11250624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14404 + ... + 15164.

Almost surely, 2^11250624 is an apocalyptic number.

11250624 is a gapful number since it is divisible by the number (14) 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 11250624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18580608).

11250624 is an abundant number, since it is smaller than the sum of its proper divisors (25910592).

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

11250624 is a wasteful number, since it uses less digits than its factorization.

11250624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 11250624 is about 3354.1949853877. The cubic root of 11250624 is about 224.0743800610.

Adding to 11250624 its reverse (42605211), we get a palindrome (53855835).

The spelling of 11250624 in words is "eleven million, two hundred fifty thousand, six hundred twenty-four".