11643680 has 48 divisors (see below), whose sum is σ = 27982584. Its totient is φ = 4577280.

The previous prime is 11643677. The next prime is 11643701. The reversal of 11643680 is 8634611.

It can be written as a sum of positive squares in 4 ways, for example, as 6130576 + 5513104 = 2476^2 + 2348^2 .

It is a super-3 number, since 3×11643680³ (a number of 22 digits) contains 333 as substring.

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, 9164 + ... + 10356.

Almost surely, 2^11643680 is an apocalyptic number.

11643680 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 11643680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13991292).

11643680 is an abundant number, since it is smaller than the sum of its proper divisors (16338904).

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

11643680 is a wasteful number, since it uses less digits than its factorization.

11643680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1269 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 11643680 is about 3412.2836927782. The cubic root of 11643680 is about 226.6540169796.

The spelling of 11643680 in words is "eleven million, six hundred forty-three thousand, six hundred eighty".