11464960 has 108 divisors (see below), whose sum is σ = 30298212. Its totient is φ = 4153344.

The previous prime is 11464951. The next prime is 11464967. The reversal of 11464960 is 6946411.

It can be written as a sum of positive squares in 6 ways, for example, as 1327104 + 10137856 = 1152^2 + 3184^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11464967) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 216294 + ... + 216346.

It is an arithmetic number, because the mean of its divisors is an integer number (280539).

Almost surely, 2^11464960 is an apocalyptic number.

11464960 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 11464960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15149106).

11464960 is an abundant number, since it is smaller than the sum of its proper divisors (18833252).

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

11464960 is an equidigital number, since it uses as much as digits as its factorization.

11464960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 11464960 is about 3385.9946839887. The cubic root of 11464960 is about 225.4883876925.

The spelling of 11464960 in words is "eleven million, four hundred sixty-four thousand, nine hundred sixty".