5115600 has 270 divisors, whose sum is σ = 21363030. Its totient is φ = 1128960.

The previous prime is 5115599. The next prime is 5115601. The reversal of 5115600 is 65115.

5115600 is a `hidden beast` number, since 51 + 15 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (5115599) and next prime (5115601).

It can be written as a sum of positive squares in 3 ways, for example, as 345744 + 4769856 = 588^2 + 2184^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5115601) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 176386 + ... + 176414.

Almost surely, 2^5115600 is an apocalyptic number.

5115600 is a gapful number since it is divisible by the number (50) 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 5115600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10681515).

5115600 is an abundant number, since it is smaller than the sum of its proper divisors (16247430).

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

5115600 is a wasteful number, since it uses less digits than its factorization.

5115600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 5115600 is about 2261.7692189965. The cubic root of 5115600 is about 172.3053885910.

It can be divided in two parts, 51 and 15600, that added together give a palindrome (15651).

The spelling of 5115600 in words is "five million, one hundred fifteen thousand, six hundred".