10626616 has 64 divisors (see below), whose sum is σ = 26772480. Its totient is φ = 3818880.

The previous prime is 10626611. The next prime is 10626617. The reversal of 10626616 is 61662601.

10626616 = 58³ + 59³ + ... + 85³.

It is a super-2 number, since 2×10626616² = 225849935222912, which contains 22 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10626611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7345 + ... + 8671.

It is an arithmetic number, because the mean of its divisors is an integer number (418320).

Almost surely, 2^10626616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10626616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13386240).

10626616 is an abundant number, since it is smaller than the sum of its proper divisors (16145864).

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

10626616 is a wasteful number, since it uses less digits than its factorization.

10626616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 10626616 is about 3259.8490762610. The cubic root of 10626616 is about 219.8526285751.

It can be divided in two parts, 10 and 626616, that added together give a palindrome (626626).

The spelling of 10626616 in words is "ten million, six hundred twenty-six thousand, six hundred sixteen".