11846640 has 80 divisors (see below), whose sum is σ = 39559968. Its totient is φ = 2915328.

The previous prime is 11846621. The next prime is 11846647. The reversal of 11846640 is 4664811.

11846640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 11846598 and 11846607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11846647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1222 + ... + 5018.

Almost surely, 2^11846640 is an apocalyptic number.

11846640 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 11846640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19779984).

11846640 is an abundant number, since it is smaller than the sum of its proper divisors (27713328).

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

11846640 is a wasteful number, since it uses less digits than its factorization.

11846640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3826 (or 3820 counting only the distinct ones).

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

The square root of 11846640 is about 3441.8948269812. The cubic root of 11846640 is about 227.9633674602.

The spelling of 11846640 in words is "eleven million, eight hundred forty-six thousand, six hundred forty".