10765116 has 48 divisors (see below), whose sum is σ = 28089600. Its totient is φ = 3565296.

The previous prime is 10765109. The next prime is 10765121. The reversal of 10765116 is 61156701.

10765116 is a `hidden beast` number, since 1 + 0 + 7 + 651 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 10765116.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28215 + ... + 28593.

It is an arithmetic number, because the mean of its divisors is an integer number (585200).

Almost surely, 2^10765116 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 10765116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14044800).

10765116 is an abundant number, since it is smaller than the sum of its proper divisors (17324484).

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

10765116 is a wasteful number, since it uses less digits than its factorization.

10765116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 10765116 is about 3281.0236207623. The cubic root of 10765116 is about 220.8036447886.

The spelling of 10765116 in words is "ten million, seven hundred sixty-five thousand, one hundred sixteen".