5955840 has 216 divisors, whose sum is σ = 22958208. Its totient is φ = 1413120.

The previous prime is 5955839. The next prime is 5955841. The reversal of 5955840 is 485595.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5955839) and next prime (5955841).

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

It is a junction number, because it is equal to n+sod(n) for n = 5955795 and 5955804.

It is not an unprimeable number, because it can be changed into a prime (5955841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126697 + ... + 126743.

It is an arithmetic number, because the mean of its divisors is an integer number (106288).

Almost surely, 2^5955840 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 5955840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11479104).

5955840 is an abundant number, since it is smaller than the sum of its proper divisors (17002368).

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

5955840 is a wasteful number, since it uses less digits than its factorization.

5955840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 5955840 is about 2440.4589732261. The cubic root of 5955840 is about 181.2651608404.

The spelling of 5955840 in words is "five million, nine hundred fifty-five thousand, eight hundred forty".