512126160 has 320 divisors, whose sum is σ = 1979873280. Its totient is φ = 106629120.

The previous prime is 512126149. The next prime is 512126161. The reversal of 512126160 is 61621215.

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

It is a self number, because there is not a number n which added to its sum of digits gives 512126160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512126161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2860951 + ... + 2861129.

It is an arithmetic number, because the mean of its divisors is an integer number (6187104).

Almost surely, 2^512126160 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 512126160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (989936640).

512126160 is an abundant number, since it is smaller than the sum of its proper divisors (1467747120).

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

512126160 is a wasteful number, since it uses less digits than its factorization.

512126160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 512126160 is about 22630.2045947446. The cubic root of 512126160 is about 800.0657029371.

Adding to 512126160 its reverse (61621215), we get a palindrome (573747375).

The spelling of 512126160 in words is "five hundred twelve million, one hundred twenty-six thousand, one hundred sixty".