5121168 has 80 divisors (see below), whose sum is σ = 14790720. Its totient is φ = 1516032.

The previous prime is 5121161. The next prime is 5121173. The reversal of 5121168 is 8611215.

It is a Cunningham number, because it is equal to 2263²-1.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5121161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17955 + ... + 18237.

It is an arithmetic number, because the mean of its divisors is an integer number (184884).

Almost surely, 2^5121168 is an apocalyptic number.

5121168 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 5121168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7395360).

5121168 is an abundant number, since it is smaller than the sum of its proper divisors (9669552).

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

5121168 is a wasteful number, since it uses less digits than its factorization.

5121168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 330 counting only the distinct ones).

The product of its digits is 480, while the sum is 24.

The square root of 5121168 is about 2262.9997790543. Note that the first 3 decimals coincide. The cubic root of 5121168 is about 172.3678803504.

The spelling of 5121168 in words is "five million, one hundred twenty-one thousand, one hundred sixty-eight".