5893920 has 72 divisors (see below), whose sum is σ = 20117916. Its totient is φ = 1571328.

The previous prime is 5893919. The next prime is 5893939. The reversal of 5893920 is 293985.

5893920 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 5817744 + 76176 = 2412^2 + 276^2 .

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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 607 + ... + 3486.

Almost surely, 2^5893920 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 5893920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10058958).

5893920 is an abundant number, since it is smaller than the sum of its proper divisors (14223996).

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

5893920 is a wasteful number, since it uses less digits than its factorization.

5893920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4114 (or 4103 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 5893920 is about 2427.7396895054. The cubic root of 5893920 is about 180.6347957076.

The spelling of 5893920 in words is "five million, eight hundred ninety-three thousand, nine hundred twenty".