10088764 has 48 divisors (see below), whose sum is σ = 21288960. Its totient is φ = 4092480.

The previous prime is 10088761. The next prime is 10088783. The reversal of 10088764 is 46788001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10088761) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 51114 + ... + 51310.

It is an arithmetic number, because the mean of its divisors is an integer number (443520).

Almost surely, 2^10088764 is an apocalyptic number.

10088764 is a gapful number since it is divisible by the number (14) 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 10088764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10644480).

10088764 is an abundant number, since it is smaller than the sum of its proper divisors (11200196).

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

10088764 is a wasteful number, since it uses less digits than its factorization.

10088764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 10088764 is about 3176.2814736733. The cubic root of 10088764 is about 216.0790462863.

The spelling of 10088764 in words is "ten million, eighty-eight thousand, seven hundred sixty-four".