5110664 has 32 divisors (see below), whose sum is σ = 10418520. Its totient is φ = 2336256.

The previous prime is 5110661. The next prime is 5110709. The reversal of 5110664 is 4660115.

5110664 = T₁ + T₂ + ... + T₃₁₂.

5110664 is a nontrivial binomial coefficient, being equal to C(314, 3).

It can be written as a sum of positive squares in 4 ways, for example, as 1276900 + 3833764 = 1130^2 + 1958^2 .

It is a super-2 number, since 2×5110664² = 52237773041792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5110661) by changing a digit.

It is the 312-nd tetrahedral number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16172 + ... + 16484.

Almost surely, 2^5110664 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 5110664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5209260).

5110664 is an abundant number, since it is smaller than the sum of its proper divisors (5307856).

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

5110664 is a wasteful number, since it uses less digits than its factorization.

5110664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 5110664 is about 2260.6777744738. The cubic root of 5110664 is about 172.2499520771.

Adding to 5110664 its reverse (4660115), we get a palindrome (9770779).

The spelling of 5110664 in words is "five million, one hundred ten thousand, six hundred sixty-four".