5665400 has 48 divisors (see below), whose sum is σ = 14191800. Its totient is φ = 2090880.

The previous prime is 5665399. The next prime is 5665417. The reversal of 5665400 is 45665.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 5665400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1511 + ... + 3689.

Almost surely, 2^5665400 is an apocalyptic number.

5665400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5665400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7095900).

5665400 is an abundant number, since it is smaller than the sum of its proper divisors (8526400).

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

5665400 is a wasteful number, since it uses less digits than its factorization.

5665400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2208 (or 2199 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 5665400 is about 2380.2100747623. The cubic root of 5665400 is about 178.2694232418.

It can be divided in two parts, 56 and 65400, that added together give a palindrome (65456).

The spelling of 5665400 in words is "five million, six hundred sixty-five thousand, four hundred".