11846340 has 144 divisors (see below), whose sum is σ = 40674816. Its totient is φ = 2764800.

The previous prime is 11846333. The next prime is 11846347. The reversal of 11846340 is 4364811.

11846340 = 83² + 84² + ... + 330².

It is an interprime number because it is at equal distance from previous prime (11846333) and next prime (11846347).

It is not an unprimeable number, because it can be changed into a prime (11846347) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61284 + ... + 61476.

It is an arithmetic number, because the mean of its divisors is an integer number (282464).

Almost surely, 2^11846340 is an apocalyptic number.

11846340 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 11846340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20337408).

11846340 is an abundant number, since it is smaller than the sum of its proper divisors (28828476).

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

11846340 is a wasteful number, since it uses less digits than its factorization.

11846340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 11846340 is about 3441.8512460593. The cubic root of 11846340 is about 227.9614431569.

The spelling of 11846340 in words is "eleven million, eight hundred forty-six thousand, three hundred forty".