10690416 has 120 divisors (see below), whose sum is σ = 34645104. Its totient is φ = 3041280.

The previous prime is 10690411. The next prime is 10690441. The reversal of 10690416 is 61409601.

10690416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×10690416³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 10690416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10690411) 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, 26730 + ... + 27126.

Almost surely, 2^10690416 is an apocalyptic number.

10690416 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 10690416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17322552).

10690416 is an abundant number, since it is smaller than the sum of its proper divisors (23954688).

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

10690416 is a wasteful number, since it uses less digits than its factorization.

10690416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 10690416 is about 3269.6201614255. The cubic root of 10690416 is about 220.2917341828.

The spelling of 10690416 in words is "ten million, six hundred ninety thousand, four hundred sixteen".