2607648 has 48 divisors (see below), whose sum is σ = 7148736. Its totient is φ = 830720.

The previous prime is 2607637. The next prime is 2607659. The reversal of 2607648 is 8467062.

It is an interprime number because it is at equal distance from previous prime (2607637) and next prime (2607659).

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1618 + ... + 2798.

It is an arithmetic number, because the mean of its divisors is an integer number (148932).

2^2607648 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 2607648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3574368).

2607648 is an abundant number, since it is smaller than the sum of its proper divisors (4541088).

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

2607648 is a wasteful number, since it uses less digits than its factorization.

2607648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1217 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 2607648 is about 1614.8213523483. The cubic root of 2607648 is about 137.6415819885.

The spelling of 2607648 in words is "two million, six hundred seven thousand, six hundred forty-eight".