11464320 has 128 divisors (see below), whose sum is σ = 41811840. Its totient is φ = 2617344.

The previous prime is 11464319. The next prime is 11464337. The reversal of 11464320 is 2346411.

11464320 is digitally balanced in base 2, because in such base 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 (128).

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 13014 + ... + 13866.

It is an arithmetic number, because the mean of its divisors is an integer number (326655).

Almost surely, 2^11464320 is an apocalyptic number.

11464320 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 11464320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20905920).

11464320 is an abundant number, since it is smaller than the sum of its proper divisors (30347520).

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

11464320 is an equidigital number, since it uses as much as digits as its factorization.

11464320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 11464320 is about 3385.9001757288. The cubic root of 11464320 is about 225.4841918571.

The spelling of 11464320 in words is "eleven million, four hundred sixty-four thousand, three hundred twenty".