5386920 has 192 divisors, whose sum is σ = 20684160. Its totient is φ = 1098240.

The previous prime is 5386891. The next prime is 5386921. The reversal of 5386920 is 296835.

It is a happy number.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (5386921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101614 + ... + 101666.

It is an arithmetic number, because the mean of its divisors is an integer number (107730).

Almost surely, 2^5386920 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 5386920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10342080).

5386920 is an abundant number, since it is smaller than the sum of its proper divisors (15297240).

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

5386920 is a wasteful number, since it uses less digits than its factorization.

5386920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 5386920 is about 2320.9739335029. The cubic root of 5386920 is about 175.2992973525.

The spelling of 5386920 in words is "five million, three hundred eighty-six thousand, nine hundred twenty".