10283616 has 72 divisors (see below), whose sum is σ = 33428304. Its totient is φ = 2937600.

The previous prime is 10283593. The next prime is 10283621. The reversal of 10283616 is 61638201.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 10283616.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 535 + ... + 4566.

It is an arithmetic number, because the mean of its divisors is an integer number (464282).

Almost surely, 2^10283616 is an apocalyptic number.

10283616 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 10283616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16714152).

10283616 is an abundant number, since it is smaller than the sum of its proper divisors (23144688).

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

10283616 is a wasteful number, since it uses less digits than its factorization.

10283616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5124 (or 5113 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 10283616 is about 3206.8077585038. The cubic root of 10283616 is about 217.4612852218.

The spelling of 10283616 in words is "ten million, two hundred eighty-three thousand, six hundred sixteen".