10509876 has 72 divisors (see below), whose sum is σ = 30316104. Its totient is φ = 3041280.

The previous prime is 10509871. The next prime is 10509901. The reversal of 10509876 is 67890501.

It can be written as a sum of positive squares in 4 ways, for example, as 3348900 + 7160976 = 1830^2 + 2676^2 .

It is a super-2 number, since 2×10509876² = 220914987070752, which contains 22 as substring.

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

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 10509876.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10509871) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7296 + ... + 8616.

It is an arithmetic number, because the mean of its divisors is an integer number (421057).

Almost surely, 2^10509876 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 10509876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15158052).

10509876 is an abundant number, since it is smaller than the sum of its proper divisors (19806228).

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

10509876 is a wasteful number, since it uses less digits than its factorization.

10509876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1361 (or 1356 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 10509876 is about 3241.8938909224. The cubic root of 10509876 is about 219.0445896571.

Subtracting 10509876 from its reverse (67890501), we obtain a square (57380625 = 7575²).

The spelling of 10509876 in words is "ten million, five hundred nine thousand, eight hundred seventy-six".