5618640 has 80 divisors (see below), whose sum is σ = 17873856. Its totient is φ = 1459200.

The previous prime is 5618633. The next prime is 5618671. The reversal of 5618640 is 468165.

5618640 = 350² + 351² + ... + 390².

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 5618598 and 5618607.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9555 + ... + 10125.

Almost surely, 2^5618640 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 5618640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8936928).

5618640 is an abundant number, since it is smaller than the sum of its proper divisors (12255216).

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

5618640 is a wasteful number, since it uses less digits than its factorization.

5618640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 5618640 is about 2370.3670601829. The cubic root of 5618640 is about 177.7776122684. Note that the first 3 decimals are identical.

The spelling of 5618640 in words is "five million, six hundred eighteen thousand, six hundred forty".