10743616 has 56 divisors (see below), whose sum is σ = 23647400. Its totient is φ = 4810752.

The previous prime is 10743587. The next prime is 10743619. The reversal of 10743616 is 61634701.

10743616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2903616 + 7840000 = 1704^2 + 2800^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10743619) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30610 + ... + 30958.

It is an arithmetic number, because the mean of its divisors is an integer number (422275).

Almost surely, 2^10743616 is an apocalyptic number.

10743616 is a gapful number since it is divisible by the number (16) 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 10743616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11823700).

10743616 is an abundant number, since it is smaller than the sum of its proper divisors (12903784).

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

10743616 is a wasteful number, since it uses less digits than its factorization.

10743616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 10743616 is about 3277.7455666967. The cubic root of 10743616 is about 220.6565510870.

The spelling of 10743616 in words is "ten million, seven hundred forty-three thousand, six hundred sixteen".