5880600 has 216 divisors, whose sum is σ = 22511580. Its totient is φ = 1425600.

The previous prime is 5880587. The next prime is 5880601. The reversal of 5880600 is 60885.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

5880600 is a `hidden beast` number, since 58 + 8 + 0 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5880601) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 534595 + ... + 534605.

Almost surely, 2^5880600 is an apocalyptic number.

5880600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5880600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11255790).

5880600 is an abundant number, since it is smaller than the sum of its proper divisors (16630980).

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

5880600 is a wasteful number, since it uses less digits than its factorization.

5880600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 5880600 is about 2424.9948453553. The cubic root of 5880600 is about 180.4986175056.

The spelling of 5880600 in words is "five million, eight hundred eighty thousand, six hundred".