10385616 has 40 divisors (see below), whose sum is σ = 27277024. Its totient is φ = 3404160.

The previous prime is 10385597. The next prime is 10385621. The reversal of 10385616 is 61658301.

10385616 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10385616² = 215722039398912, which contains 22 as substring.

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

It is a congruent number.

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, 1155 + ... + 4701.

Almost surely, 2^10385616 is an apocalyptic number.

10385616 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 10385616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13638512).

10385616 is an abundant number, since it is smaller than the sum of its proper divisors (16891408).

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

10385616 is a wasteful number, since it uses less digits than its factorization.

10385616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3619 (or 3613 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 10385616 is about 3222.6721831424. The cubic root of 10385616 is about 218.1778981619.

The spelling of 10385616 in words is "ten million, three hundred eighty-five thousand, six hundred sixteen".