5117600 has 36 divisors (see below), whose sum is σ = 12495294. Its totient is φ = 2046720.

The previous prime is 5117599. The next prime is 5117603. The reversal of 5117600 is 67115.

It can be written as a sum of positive squares in 3 ways, for example, as 2062096 + 3055504 = 1436^2 + 1748^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (5117603) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2399 + ... + 3998.

Almost surely, 2^5117600 is an apocalyptic number.

5117600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5117600 is an abundant number, since it is smaller than the sum of its proper divisors (7377694).

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

5117600 is a wasteful number, since it uses less digits than its factorization.

5117600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6417 (or 6404 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 20.

The square root of 5117600 is about 2262.2113075484. The cubic root of 5117600 is about 172.3278405599.

The spelling of 5117600 in words is "five million, one hundred seventeen thousand, six hundred".