11245968 has 60 divisors (see below), whose sum is σ = 32570460. Its totient is φ = 3618048.

The previous prime is 11245937. The next prime is 11245973. The reversal of 11245968 is 86954211.

It can be written as a sum of positive squares in 2 ways, for example, as 5253264 + 5992704 = 2292^2 + 2448^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2830 + ... + 5522.

It is an arithmetic number, because the mean of its divisors is an integer number (542841).

Almost surely, 2^11245968 is an apocalyptic number.

11245968 is a gapful number since it is divisible by the number (18) 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 11245968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16285230).

11245968 is an abundant number, since it is smaller than the sum of its proper divisors (21324492).

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

11245968 is a wasteful number, since it uses less digits than its factorization.

11245968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2736 (or 2727 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 11245968 is about 3353.5008573131. The cubic root of 11245968 is about 224.0434652049.

The spelling of 11245968 in words is "eleven million, two hundred forty-five thousand, nine hundred sixty-eight".