5739264 has 108 divisors (see below), whose sum is σ = 17218656. Its totient is φ = 1837056.

The previous prime is 5739233. The next prime is 5739269. The reversal of 5739264 is 4629375.

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

It is a d-powerful number, because it can be written as 5³ + 7⁷ + 3⁵ + 9⁷ + 2¹⁷ + 6⁴ + 4² .

Its product of digits (45360) is a multiple of the sum of its prime divisors (105).

It is not an unprimeable number, because it can be changed into a prime (5739269) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 108262 + ... + 108314.

It is an arithmetic number, because the mean of its divisors is an integer number (159432).

Almost surely, 2^5739264 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 5739264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8609328).

5739264 is an abundant number, since it is smaller than the sum of its proper divisors (11479392).

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

5739264 is a wasteful number, since it uses less digits than its factorization.

5739264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 105 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 5739264 is about 2395.6761049858. The cubic root of 5739264 is about 179.0408237880.

The spelling of 5739264 in words is "five million, seven hundred thirty-nine thousand, two hundred sixty-four".