5768640 has 84 divisors (see below), whose sum is σ = 19851624. Its totient is φ = 1537536.

The previous prime is 5768629. The next prime is 5768641. The reversal of 5768640 is 468675.

It is a happy number.

5768640 is a `hidden beast` number, since 5 + 7 + 6 + 8 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 5768595 and 5768604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5768641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1879 + ... + 3881.

Almost surely, 2^5768640 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 5768640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9925812).

5768640 is an abundant number, since it is smaller than the sum of its proper divisors (14082984).

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

5768640 is a wasteful number, since it uses less digits than its factorization.

5768640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2026 (or 2013 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 5768640 is about 2401.7993255058. The cubic root of 5768640 is about 179.3457731805.

It can be divided in two parts, 576 and 8640, that added together give a square (9216 = 96²).

The spelling of 5768640 in words is "five million, seven hundred sixty-eight thousand, six hundred forty".