10613268 has 72 divisors (see below), whose sum is σ = 28435680. Its totient is φ = 3460320.

The previous prime is 10613261. The next prime is 10613279. The reversal of 10613268 is 86231601.

It is a super-2 number, since 2×10613268² = 225282915279648, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10613261) 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, 59203 + ... + 59381.

It is an arithmetic number, because the mean of its divisors is an integer number (394940).

Almost surely, 2^10613268 is an apocalyptic number.

10613268 is a gapful number since it is divisible by the number (18) 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 10613268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14217840).

10613268 is an abundant number, since it is smaller than the sum of its proper divisors (17822412).

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

10613268 is a wasteful number, since it uses less digits than its factorization.

10613268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 245 counting only the distinct ones).

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

The square root of 10613268 is about 3257.8010989009. The cubic root of 10613268 is about 219.7605383477.

Adding to 10613268 its reverse (86231601), we get a palindrome (96844869).

It can be divided in two parts, 10 and 613268, that added together give a triangular number (613278 = T₁₁₀₇).

The spelling of 10613268 in words is "ten million, six hundred thirteen thousand, two hundred sixty-eight".