11825088 has 84 divisors (see below), whose sum is σ = 34457640. Its totient is φ = 3576320.

The previous prime is 11825071. The next prime is 11825113. The reversal of 11825088 is 88052811.

11825088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22978 + ... + 23486.

It is an arithmetic number, because the mean of its divisors is an integer number (410210).

Almost surely, 2^11825088 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 11825088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17228820).

11825088 is an abundant number, since it is smaller than the sum of its proper divisors (22632552).

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

11825088 is a wasteful number, since it uses less digits than its factorization.

11825088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 33.

The square root of 11825088 is about 3438.7625681341. The cubic root of 11825088 is about 227.8250427573.

Adding to 11825088 its reverse (88052811), we get a palindrome (99877899).

The spelling of 11825088 in words is "eleven million, eight hundred twenty-five thousand, eighty-eight".