5757920 has 96 divisors (see below), whose sum is σ = 16003008. Its totient is φ = 1916928.

The previous prime is 5757919. The next prime is 5757929. The reversal of 5757920 is 297575.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5757929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59312 + ... + 59408.

It is an arithmetic number, because the mean of its divisors is an integer number (166698).

Almost surely, 2^5757920 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 5757920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8001504).

5757920 is an abundant number, since it is smaller than the sum of its proper divisors (10245088).

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

5757920 is a wasteful number, since it uses less digits than its factorization.

5757920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 22050, while the sum is 35.

The square root of 5757920 is about 2399.5666275392. The cubic root of 5757920 is about 179.2346101306.

The spelling of 5757920 in words is "five million, seven hundred fifty-seven thousand, nine hundred twenty".