10608640 has 112 divisors (see below), whose sum is σ = 29882592. Its totient is φ = 3538944.

The previous prime is 10608623. The next prime is 10608649. The reversal of 10608640 is 4680601.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×10608640² = 225086485299200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10608649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 286702 + ... + 286738.

Almost surely, 2^10608640 is an apocalyptic number.

10608640 is a gapful number since it is divisible by the number (10) 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 10608640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14941296).

10608640 is an abundant number, since it is smaller than the sum of its proper divisors (19273952).

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

10608640 is an frugal number, since it uses more digits than its factorization.

10608640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 10608640 is about 3257.0907263999. The cubic root of 10608640 is about 219.7285909262.

The spelling of 10608640 in words is "ten million, six hundred eight thousand, six hundred forty".