10938276 has 72 divisors (see below), whose sum is σ = 29857464. Its totient is φ = 3363840.

The previous prime is 10938253. The next prime is 10938341. The reversal of 10938276 is 67283901.

It can be written as a sum of positive squares in 4 ways, for example, as 2643876 + 8294400 = 1626^2 + 2880^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10938276.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 37186 + ... + 37478.

It is an arithmetic number, because the mean of its divisors is an integer number (414687).

Almost surely, 2^10938276 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 10938276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14928732).

10938276 is an abundant number, since it is smaller than the sum of its proper divisors (18919188).

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

10938276 is a wasteful number, since it uses less digits than its factorization.

10938276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 10938276 is about 3307.3064569223. The cubic root of 10938276 is about 221.9812499382.

The spelling of 10938276 in words is "ten million, nine hundred thirty-eight thousand, two hundred seventy-six".