11613440 has 72 divisors (see below), whose sum is σ = 28599648. Its totient is φ = 4515840.

The previous prime is 11613421. The next prime is 11613451. The reversal of 11613440 is 4431611.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54935 + ... + 55145.

Almost surely, 2^11613440 is an apocalyptic number.

11613440 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 11613440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14299824).

11613440 is an abundant number, since it is smaller than the sum of its proper divisors (16986208).

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

11613440 is an equidigital number, since it uses as much as digits as its factorization.

11613440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 11613440 is about 3407.8497619467. The cubic root of 11613440 is about 226.4576311974.

The spelling of 11613440 in words is "eleven million, six hundred thirteen thousand, four hundred forty".