5389920 has 144 divisors (see below), whose sum is σ = 19459440. Its totient is φ = 1354752.

The previous prime is 5389907. The next prime is 5389931. The reversal of 5389920 is 299835.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27262 + ... + 27458.

It is an arithmetic number, because the mean of its divisors is an integer number (135135).

Almost surely, 2^5389920 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 5389920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9729720).

5389920 is an abundant number, since it is smaller than the sum of its proper divisors (14069520).

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

5389920 is a wasteful number, since it uses less digits than its factorization.

5389920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 226 counting only the distinct ones).

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

The square root of 5389920 is about 2321.6201239652. The cubic root of 5389920 is about 175.3318329695.

The spelling of 5389920 in words is "five million, three hundred eighty-nine thousand, nine hundred twenty".