10819088 has 40 divisors (see below), whose sum is σ = 24790080. Its totient is φ = 4475520.

The previous prime is 10819079. The next prime is 10819099. The reversal of 10819088 is 88091801.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1583 + ... + 4913.

It is an arithmetic number, because the mean of its divisors is an integer number (619752).

Almost surely, 2^10819088 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 10819088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12395040).

10819088 is an abundant number, since it is smaller than the sum of its proper divisors (13970992).

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

10819088 is a wasteful number, since it uses less digits than its factorization.

10819088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3375 (or 3369 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 35.

The square root of 10819088 is about 3289.2382096771. The cubic root of 10819088 is about 221.1720369654.

The spelling of 10819088 in words is "ten million, eight hundred nineteen thousand, eighty-eight".