10625616 has 60 divisors (see below), whose sum is σ = 30046068. Its totient is φ = 3505152.

The previous prime is 10625611. The next prime is 10625633. The reversal of 10625616 is 61652601.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1040400 + 9585216 = 1020^2 + 3096^2 .

It is a super-2 number, since 2×10625616² = 225807430758912, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10625616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10625611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15946 + ... + 16598.

Almost surely, 2^10625616 is an apocalyptic number.

10625616 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 10625616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15023034).

10625616 is an abundant number, since it is smaller than the sum of its proper divisors (19420452).

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

10625616 is a wasteful number, since it uses less digits than its factorization.

10625616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 771 counting only the distinct ones).

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

The square root of 10625616 is about 3259.6956913184. The cubic root of 10625616 is about 219.8457320702.

The spelling of 10625616 in words is "ten million, six hundred twenty-five thousand, six hundred sixteen".