11466640 has 20 divisors (see below), whose sum is σ = 26660124. Its totient is φ = 4586624.

The previous prime is 11466617. The next prime is 11466641. The reversal of 11466640 is 4666411.

It can be written as a sum of positive squares in 2 ways, for example, as 1430416 + 10036224 = 1196^2 + 3168^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-3 number, since 3×11466640³ (a number of 22 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11466599 and 11466608.

It is not an unprimeable number, because it can be changed into a prime (11466641) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 71587 + ... + 71746.

Almost surely, 2^11466640 is an apocalyptic number.

11466640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11466640 is an abundant number, since it is smaller than the sum of its proper divisors (15193484).

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

11466640 is a wasteful number, since it uses less digits than its factorization.

11466640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143346 (or 143340 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 11466640 is about 3386.2427556216. The cubic root of 11466640 is about 225.4994010174.

It can be divided in two parts, 1 and 1466640, that added together give a palindrome (1466641).

The spelling of 11466640 in words is "eleven million, four hundred sixty-six thousand, six hundred forty".