2605632 has 56 divisors (see below), whose sum is σ = 7083552. Its totient is φ = 844800.

The previous prime is 2605627. The next prime is 2605637. The reversal of 2605632 is 2365062.

It is an interprime number because it is at equal distance from previous prime (2605627) and next prime (2605637).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2605637) 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, 7707 + ... + 8037.

It is an arithmetic number, because the mean of its divisors is an integer number (126492).

2^2605632 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 2605632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3541776).

2605632 is an abundant number, since it is smaller than the sum of its proper divisors (4477920).

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

2605632 is a wasteful number, since it uses less digits than its factorization.

2605632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 2605632 is about 1614.1970139980. The cubic root of 2605632 is about 137.6061021271.

The spelling of 2605632 in words is "two million, six hundred five thousand, six hundred thirty-two".