11342720 has 64 divisors (see below), whose sum is σ = 27907200. Its totient is φ = 4405248.

The previous prime is 11342719. The next prime is 11342743. The reversal of 11342720 is 2724311.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a junction number, because it is equal to n+sod(n) for n = 11342692 and 11342701.

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, 23441 + ... + 23919.

It is an arithmetic number, because the mean of its divisors is an integer number (436050).

Almost surely, 2^11342720 is an apocalyptic number.

11342720 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 11342720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13953600).

11342720 is an abundant number, since it is smaller than the sum of its proper divisors (16564480).

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

11342720 is an equidigital number, since it uses as much as digits as its factorization.

11342720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 11342720 is about 3367.8954853142. The cubic root of 11342720 is about 224.6841329080.

The spelling of 11342720 in words is "eleven million, three hundred forty-two thousand, seven hundred twenty".