11986632 has 96 divisors (see below), whose sum is σ = 39312000. Its totient is φ = 3220992.

The previous prime is 11986627. The next prime is 11986643. The reversal of 11986632 is 23668911.

11986632 is a `hidden beast` number, since 1 + 19 + 8 + 6 + 632 = 666.

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 an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 7869 + ... + 9267.

It is an arithmetic number, because the mean of its divisors is an integer number (409500).

Almost surely, 2^11986632 is an apocalyptic number.

11986632 is a gapful number since it is divisible by the number (12) 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 11986632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19656000).

11986632 is an abundant number, since it is smaller than the sum of its proper divisors (27325368).

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

11986632 is a wasteful number, since it uses less digits than its factorization.

11986632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1435 (or 1428 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 11986632 is about 3462.1715728716. The cubic root of 11986632 is about 228.8578028115.

The spelling of 11986632 in words is "eleven million, nine hundred eighty-six thousand, six hundred thirty-two".