5377824 has 72 divisors (see below), whose sum is σ = 15567552. Its totient is φ = 1760640.

The previous prime is 5377807. The next prime is 5377829. The reversal of 5377824 is 4287735.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (5377829) 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, 20317 + ... + 20579.

It is an arithmetic number, because the mean of its divisors is an integer number (216216).

Almost surely, 2^5377824 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 5377824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7783776).

5377824 is an abundant number, since it is smaller than the sum of its proper divisors (10189728).

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

5377824 is a wasteful number, since it uses less digits than its factorization.

5377824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 339 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 5377824 is about 2319.0135834014. The cubic root of 5377824 is about 175.2005754657.

It can be divided in two parts, 53 and 77824, that added together give a palindrome (77877).

The spelling of 5377824 in words is "five million, three hundred seventy-seven thousand, eight hundred twenty-four".