5765040 has 160 divisors (see below), whose sum is σ = 21159360. Its totient is φ = 1437696.

The previous prime is 5765033. The next prime is 5765041. The reversal of 5765040 is 405675.

5765040 is a `hidden beast` number, since 5 + 7 + 650 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5764995 and 5765013.

It is not an unprimeable number, because it can be changed into a prime (5765041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36642 + ... + 36798.

It is an arithmetic number, because the mean of its divisors is an integer number (132246).

Almost surely, 2^5765040 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 5765040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10579680).

5765040 is an abundant number, since it is smaller than the sum of its proper divisors (15394320).

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

5765040 is a wasteful number, since it uses less digits than its factorization.

5765040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 5765040 is about 2401.0497704129. The cubic root of 5765040 is about 179.3084576758.

The spelling of 5765040 in words is "five million, seven hundred sixty-five thousand, forty".