11468640 has 48 divisors (see below), whose sum is σ = 36127728. Its totient is φ = 3058176.

The previous prime is 11468627. The next prime is 11468683. The reversal of 11468640 is 4686411.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11468598 and 11468607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11467 + ... + 12426.

It is an arithmetic number, because the mean of its divisors is an integer number (752661).

Almost surely, 2^11468640 is an apocalyptic number.

11468640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11468640 is an abundant number, since it is smaller than the sum of its proper divisors (24659088).

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

11468640 is a wasteful number, since it uses less digits than its factorization.

11468640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23911 (or 23903 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 11468640 is about 3386.5380553007. The cubic root of 11468640 is about 225.5125107160.

It can be divided in two parts, 1 and 1468640, that added together give a palindrome (1468641).

The spelling of 11468640 in words is "eleven million, four hundred sixty-eight thousand, six hundred forty".