5658240 has 128 divisors (see below), whose sum is σ = 20661120. Its totient is φ = 1290240.

The previous prime is 5658223. The next prime is 5658251. The reversal of 5658240 is 428565.

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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 5658198 and 5658207.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13230 + ... + 13650.

It is an arithmetic number, because the mean of its divisors is an integer number (161415).

Almost surely, 2^5658240 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 5658240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10330560).

5658240 is an abundant number, since it is smaller than the sum of its proper divisors (15002880).

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

5658240 is a wasteful number, since it uses less digits than its factorization.

5658240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 5658240 is about 2378.7055303253. The cubic root of 5658240 is about 178.1942919088.

The spelling of 5658240 in words is "five million, six hundred fifty-eight thousand, two hundred forty".