5379264 has 112 divisors (see below), whose sum is σ = 17312640. Its totient is φ = 1624320.

The previous prime is 5379251. The next prime is 5379277. The reversal of 5379264 is 4629735.

It is an interprime number because it is at equal distance from previous prime (5379251) and next prime (5379277).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 5⁵ + 3¹⁴ + 7⁴ + 9³ + 2¹⁹ + 6³ + 4⁸ .

Its product of digits (45360) is a multiple of the sum of its prime factors (315).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 18867 + ... + 19149.

Almost surely, 2^5379264 is an apocalyptic number.

5379264 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 5379264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8656320).

5379264 is an abundant number, since it is smaller than the sum of its proper divisors (11933376).

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

5379264 is a wasteful number, since it uses less digits than its factorization.

5379264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 299 counting only the distinct ones).

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

The square root of 5379264 is about 2319.3240394563. The cubic root of 5379264 is about 175.2162116731.

It can be divided in two parts, 537 and 9264, that added together give a square (9801 = 99²).

The spelling of 5379264 in words is "five million, three hundred seventy-nine thousand, two hundred sixty-four".