5379840 has 108 divisors (see below), whose sum is σ = 18653544. Its totient is φ = 1431552.

The previous prime is 5379827. The next prime is 5379851. The reversal of 5379840 is 489735.

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

It is a junction number, because it is equal to n+sod(n) for n = 5379795 and 5379804.

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 11 ways as a sum of consecutive naturals, for example, 11287 + ... + 11753.

It is an arithmetic number, because the mean of its divisors is an integer number (172718).

Almost surely, 2^5379840 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 5379840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9326772).

5379840 is an abundant number, since it is smaller than the sum of its proper divisors (13273704).

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

5379840 is a wasteful number, since it uses less digits than its factorization.

5379840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 5379840 is about 2319.4482102431. The cubic root of 5379840 is about 175.2224653747. Note that the first 3 decimals are identical.

The spelling of 5379840 in words is "five million, three hundred seventy-nine thousand, eight hundred forty".