11671632 has 60 divisors (see below), whose sum is σ = 37333920. Its totient is φ = 3334464.

The previous prime is 11671609. The next prime is 11671637. The reversal of 11671632 is 23617611.

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

It is a junction number, because it is equal to n+sod(n) for n = 11671596 and 11671605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11671637) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4782 + ... + 6797.

It is an arithmetic number, because the mean of its divisors is an integer number (622232).

Almost surely, 2^11671632 is an apocalyptic number.

11671632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11671632 is an abundant number, since it is smaller than the sum of its proper divisors (25662288).

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

11671632 is a wasteful number, since it uses less digits than its factorization.

11671632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11600 (or 11591 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 11671632 is about 3416.3770283738. The cubic root of 11671632 is about 226.8352417638.

The spelling of 11671632 in words is "eleven million, six hundred seventy-one thousand, six hundred thirty-two".