11400720 has 80 divisors (see below), whose sum is σ = 35920320. Its totient is φ = 2990592.

The previous prime is 11400713. The next prime is 11400731. The reversal of 11400720 is 2700411.

11400720 is digitally balanced in base 2 and base 4, because in such bases 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 (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11400720.

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, 15726 + ... + 16434.

It is an arithmetic number, because the mean of its divisors is an integer number (449004).

Almost surely, 2^11400720 is an apocalyptic number.

11400720 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 11400720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17960160).

11400720 is an abundant number, since it is smaller than the sum of its proper divisors (24519600).

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

11400720 is a wasteful number, since it uses less digits than its factorization.

11400720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 11400720 is about 3376.4952243414. The cubic root of 11400720 is about 225.0664495093.

The spelling of 11400720 in words is "eleven million, four hundred thousand, seven hundred twenty".