11864480 has 48 divisors (see below), whose sum is σ = 29007720. Its totient is φ = 4580352.

The previous prime is 11864477. The next prime is 11864483. The reversal of 11864480 is 8446811.

It is an interprime number because it is at equal distance from previous prime (11864477) and next prime (11864483).

It can be written as a sum of positive squares in 4 ways, for example, as 9265936 + 2598544 = 3044^2 + 1612^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (11864483) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3362 + ... + 5918.

Almost surely, 2^11864480 is an apocalyptic number.

11864480 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 11864480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14503860).

11864480 is an abundant number, since it is smaller than the sum of its proper divisors (17143240).

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

11864480 is a wasteful number, since it uses less digits than its factorization.

11864480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2601 (or 2593 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 11864480 is about 3444.4854477846. The cubic root of 11864480 is about 228.0777410079.

The spelling of 11864480 in words is "eleven million, eight hundred sixty-four thousand, four hundred eighty".