11006892 has 72 divisors (see below), whose sum is σ = 31034640. Its totient is φ = 3265920.

The previous prime is 11006887. The next prime is 11006923. The reversal of 11006892 is 29860011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13167 + ... + 13977.

Almost surely, 2^11006892 is an apocalyptic number.

11006892 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 11006892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15517320).

11006892 is an abundant number, since it is smaller than the sum of its proper divisors (20027748).

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

11006892 is a wasteful number, since it uses less digits than its factorization.

11006892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 11006892 is about 3317.6636357533. The cubic root of 11006892 is about 222.4444468470. Note that the first 5 decimals are identical.

The spelling of 11006892 in words is "eleven million, six thousand, eight hundred ninety-two".