11292688 has 60 divisors (see below), whose sum is σ = 25397680. Its totient is φ = 4847040.

The previous prime is 11292683. The next prime is 11292691. The reversal of 11292688 is 88629211.

It is not an unprimeable number, because it can be changed into a prime (11292683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36631 + ... + 36937.

Almost surely, 2^11292688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11292688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12698840).

11292688 is an abundant number, since it is smaller than the sum of its proper divisors (14104992).

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

11292688 is a wasteful number, since it uses less digits than its factorization.

11292688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 339 counting only the distinct ones).

The product of its digits is 13824, while the sum is 37.

The square root of 11292688 is about 3360.4594923909. The cubic root of 11292688 is about 224.3532902907.

The spelling of 11292688 in words is "eleven million, two hundred ninety-two thousand, six hundred eighty-eight".