11467040 has 96 divisors (see below), whose sum is σ = 30164400. Its totient is φ = 4091904.

The previous prime is 11467039. The next prime is 11467081. The reversal of 11467040 is 4076411.

11467040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2917264 + 8549776 = 1708^2 + 2924^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11466997 and 11467015.

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, 76886 + ... + 77034.

Almost surely, 2^11467040 is an apocalyptic number.

11467040 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 11467040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15082200).

11467040 is an abundant number, since it is smaller than the sum of its proper divisors (18697360).

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

11467040 is a wasteful number, since it uses less digits than its factorization.

11467040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 11467040 is about 3386.3018176176. The cubic root of 11467040 is about 225.5020230791.

The spelling of 11467040 in words is "eleven million, four hundred sixty-seven thousand, forty".