5761920 has 64 divisors (see below), whose sum is σ = 18372240. Its totient is φ = 1536000.

The previous prime is 5761919. The next prime is 5761927. The reversal of 5761920 is 291675.

5761920 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5761927) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 420 + ... + 3420.

Almost surely, 2^5761920 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 5761920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9186120).

5761920 is an abundant number, since it is smaller than the sum of its proper divisors (12610320).

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

5761920 is a wasteful number, since it uses less digits than its factorization.

5761920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3023 (or 3011 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 5761920 is about 2400.3999666722. The cubic root of 5761920 is about 179.2761050041.

The spelling of 5761920 in words is "five million, seven hundred sixty-one thousand, nine hundred twenty".