5768064 has 64 divisors (see below), whose sum is σ = 17034000. Its totient is φ = 1921536.

The previous prime is 5768057. The next prime is 5768069. The reversal of 5768064 is 4608675.

It is a happy number.

5768064 is a `hidden beast` number, since 576 + 80 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5768069) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2622 + ... + 4290.

Almost surely, 2^5768064 is an apocalyptic number.

5768064 is a gapful number since it is divisible by the number (54) 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 5768064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8517000).

5768064 is an abundant number, since it is smaller than the sum of its proper divisors (11265936).

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

5768064 is a wasteful number, since it uses less digits than its factorization.

5768064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1692 (or 1674 counting only the distinct ones).

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

The square root of 5768064 is about 2401.6794124112. The cubic root of 5768064 is about 179.3398037432.

It can be divided in two parts, 57 and 68064, that added together give a square (68121 = 261²).

The spelling of 5768064 in words is "five million, seven hundred sixty-eight thousand, sixty-four".