5086368 has 144 divisors (see below), whose sum is σ = 17559360. Its totient is φ = 1403136.

The previous prime is 5086351. The next prime is 5086379. The reversal of 5086368 is 8636805.

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

It is a super-2 number, since 2×5086368² = 51742278862848, which contains 22 as substring.

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

5086368 is a Rhonda number in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 175378 + ... + 175406.

It is an arithmetic number, because the mean of its divisors is an integer number (121940).

Almost surely, 2^5086368 is an apocalyptic number.

5086368 is a gapful number since it is divisible by the number (58) 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 5086368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8779680).

5086368 is an abundant number, since it is smaller than the sum of its proper divisors (12472992).

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

5086368 is a wasteful number, since it uses less digits than its factorization.

5086368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 5086368 is about 2255.2977630459. The cubic root of 5086368 is about 171.9765607144.

The spelling of 5086368 in words is "five million, eighty-six thousand, three hundred sixty-eight".