11814720 has 112 divisors (see below), whose sum is σ = 38819328. Its totient is φ = 3041280.

The previous prime is 11814703. The next prime is 11814757. The reversal of 11814720 is 2741811.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 29562 + ... + 29958.

Almost surely, 2^11814720 is an apocalyptic number.

11814720 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 11814720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19409664).

11814720 is an abundant number, since it is smaller than the sum of its proper divisors (27004608).

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

11814720 is a wasteful number, since it uses less digits than its factorization.

11814720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 24.

The square root of 11814720 is about 3437.2547185217. The cubic root of 11814720 is about 227.7584391452.

The spelling of 11814720 in words is "eleven million, eight hundred fourteen thousand, seven hundred twenty".