5177920 has 56 divisors (see below), whose sum is σ = 13459968. Its totient is φ = 1881600.

The previous prime is 5177903. The next prime is 5177923. The reversal of 5177920 is 297715.

5177920 = 380² + 381² + ... + 412².

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5177923) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2785 + ... + 4255.

Almost surely, 2^5177920 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 5177920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6729984).

5177920 is an abundant number, since it is smaller than the sum of its proper divisors (8282048).

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

5177920 is a wasteful number, since it uses less digits than its factorization.

5177920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1499 (or 1489 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 31.

The square root of 5177920 is about 2275.5043397014. The cubic root of 5177920 is about 173.0022608768.

The spelling of 5177920 in words is "five million, one hundred seventy-seven thousand, nine hundred twenty".