10265616 has 75 divisors (see below), whose sum is σ = 30049261. Its totient is φ = 3383424.

The previous prime is 10265609. The next prime is 10265617. The reversal of 10265616 is 61656201.

It is a happy number.

The square root of 10265616 is 3204.

It is a perfect power (a square), and thus also a powerful number.

10265616 is a `hidden beast` number, since 1 + 0 + 2 + 656 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1971216 + 8294400 = 1404^2 + 2880^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10265616.

It is not an unprimeable number, because it can be changed into a prime (10265617) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 115300 + ... + 115388.

Almost surely, 2^10265616 is an apocalyptic number.

10265616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10265616 is the 3204-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10265616

10265616 is an abundant number, since it is smaller than the sum of its proper divisors (19783645).

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

10265616 is an frugal number, since it uses more digits than its factorization.

10265616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The cubic root of 10265616 is about 217.3343328227.

The spelling of 10265616 in words is "ten million, two hundred sixty-five thousand, six hundred sixteen".