11741688 has 48 divisors (see below), whose sum is σ = 36344880. Its totient is φ = 3354624.

The previous prime is 11741687. The next prime is 11741689. The reversal of 11741688 is 88614711.

It is an interprime number because it is at equal distance from previous prime (11741687) and next prime (11741689).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11741687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11145 + ... + 12152.

It is an arithmetic number, because the mean of its divisors is an integer number (757185).

Almost surely, 2^11741688 is an apocalyptic number.

11741688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11741688 is an abundant number, since it is smaller than the sum of its proper divisors (24603192).

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

11741688 is a wasteful number, since it uses less digits than its factorization.

11741688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23316 (or 23309 counting only the distinct ones).

The product of its digits is 10752, while the sum is 36.

The square root of 11741688 is about 3426.6146558958. The cubic root of 11741688 is about 227.2881770249.

The spelling of 11741688 in words is "eleven million, seven hundred forty-one thousand, six hundred eighty-eight".