5878656 has 144 divisors (see below), whose sum is σ = 20075640. Its totient is φ = 1679616.

The previous prime is 5878637. The next prime is 5878661. The reversal of 5878656 is 6568785.

5878656 is a `hidden beast` number, since 587 + 8 + 65 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

Its product of digits (403200) is a multiple of the sum of its prime divisors (12).

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 839805 + ... + 839811.

Almost surely, 2^5878656 is an apocalyptic number.

5878656 is a gapful number since it is divisible by the number (56) 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 5878656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10037820).

5878656 is an abundant number, since it is smaller than the sum of its proper divisors (14196984).

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

5878656 is an frugal number, since it uses more digits than its factorization.

5878656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 12 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The square root of 5878656 is about 2424.5939866295. The cubic root of 5878656 is about 180.4787256587.

The spelling of 5878656 in words is "five million, eight hundred seventy-eight thousand, six hundred fifty-six".