5876640 has 288 divisors, whose sum is σ = 25474176. Its totient is φ = 1198080.

The previous prime is 5876627. The next prime is 5876641. The reversal of 5876640 is 466785.

It is a happy number.

5876640 is a `hidden beast` number, since 5 + 8 + 7 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 5876595 and 5876604.

It is not an unprimeable number, because it can be changed into a prime (5876641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110854 + ... + 110906.

It is an arithmetic number, because the mean of its divisors is an integer number (88452).

Almost surely, 2^5876640 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 5876640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12737088).

5876640 is an abundant number, since it is smaller than the sum of its proper divisors (19597536).

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

5876640 is a wasteful number, since it uses less digits than its factorization.

5876640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 5876640 is about 2424.1782112708. The cubic root of 5876640 is about 180.4580924442.

It can be divided in two parts, 587 and 6640, that added together give a palindrome (7227).

The spelling of 5876640 in words is "five million, eight hundred seventy-six thousand, six hundred forty".