10916000 has 48 divisors (see below), whose sum is σ = 26830440. Its totient is φ = 4364800.

The previous prime is 10915997. The next prime is 10916027. The reversal of 10916000 is 61901.

It can be written as a sum of positive squares in 4 ways, for example, as 6370576 + 4545424 = 2524^2 + 2132^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10916000.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2636 + ... + 5364.

Almost surely, 2^10916000 is an apocalyptic number.

10916000 is a gapful number since it is divisible by the number (10) 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 10916000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13415220).

10916000 is an abundant number, since it is smaller than the sum of its proper divisors (15914440).

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

10916000 is an equidigital number, since it uses as much as digits as its factorization.

10916000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2754 (or 2736 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

The square root of 10916000 is about 3303.9370454051. The cubic root of 10916000 is about 221.8304578972.

Adding to 10916000 its reverse (61901), we get a palindrome (10977901).

The spelling of 10916000 in words is "ten million, nine hundred sixteen thousand".