5386880 has 64 divisors (see below), whose sum is σ = 13586400. Its totient is φ = 2036736.

The previous prime is 5386879. The next prime is 5386883. The reversal of 5386880 is 886835.

It is a happy number.

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

It is a super-2 number, since 2×5386880² = 58036952268800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5386883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11939 + ... + 12381.

Almost surely, 2^5386880 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 5386880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6793200).

5386880 is an abundant number, since it is smaller than the sum of its proper divisors (8199520).

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

5386880 is a wasteful number, since it uses less digits than its factorization.

5386880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 38.

The square root of 5386880 is about 2320.9653164147. The cubic root of 5386880 is about 175.2988634627.

The spelling of 5386880 in words is "five million, three hundred eighty-six thousand, eight hundred eighty".