10846116 has 48 divisors (see below), whose sum is σ = 29097600. Its totient is φ = 3489696.

The previous prime is 10846109. The next prime is 10846123. The reversal of 10846116 is 61164801.

It is an interprime number because it is at equal distance from previous prime (10846109) and next prime (10846123).

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 10846116.

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, 1401 + ... + 4863.

It is an arithmetic number, because the mean of its divisors is an integer number (606200).

Almost surely, 2^10846116 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 10846116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14548800).

10846116 is an abundant number, since it is smaller than the sum of its proper divisors (18251484).

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

10846116 is a wasteful number, since it uses less digits than its factorization.

10846116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3505 (or 3497 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 10846116 is about 3293.3441970131. The cubic root of 10846116 is about 221.3560594638.

The spelling of 10846116 in words is "ten million, eight hundred forty-six thousand, one hundred sixteen".