5825040 has 80 divisors (see below), whose sum is σ = 19457088. Its totient is φ = 1433088.

The previous prime is 5825009. The next prime is 5825041. The reversal of 5825040 is 405285.

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 5825040.

It is not an unprimeable number, because it can be changed into a prime (5825041) 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, 2187 + ... + 4053.

Almost surely, 2^5825040 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 5825040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9728544).

5825040 is an abundant number, since it is smaller than the sum of its proper divisors (13632048).

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

5825040 is a wasteful number, since it uses less digits than its factorization.

5825040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1896 (or 1890 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 5825040 is about 2413.5119639231. The cubic root of 5825040 is about 179.9283665580.

The spelling of 5825040 in words is "five million, eight hundred twenty-five thousand, forty".