5408640 has 128 divisors (see below), whose sum is σ = 19216800. Its totient is φ = 1437696.

The previous prime is 5408639. The next prime is 5408647. The reversal of 5408640 is 468045.

5408640 is a `hidden beast` number, since 540 + 86 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5408647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17124 + ... + 17436.

Almost surely, 2^5408640 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 5408640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9608400).

5408640 is an abundant number, since it is smaller than the sum of its proper divisors (13808160).

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

5408640 is a wasteful number, since it uses less digits than its factorization.

5408640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 5408640 is about 2325.6482967121. The cubic root of 5408640 is about 175.5345830015.

It can be divided in two parts, 540 and 8640, that multiplied together give a square (4665600 = 2160²).

The spelling of 5408640 in words is "five million, four hundred eight thousand, six hundred forty".