512065840 has 160 divisors (see below), whose sum is σ = 1481530176. Its totient is φ = 161710080.

The previous prime is 512065831. The next prime is 512065867. The reversal of 512065840 is 48560215.

It is a super-2 number, since 2×512065840² = 524422848989811200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 193164 + ... + 195796.

Almost surely, 2^512065840 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 512065840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740765088).

512065840 is an abundant number, since it is smaller than the sum of its proper divisors (969464336).

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

512065840 is a wasteful number, since it uses less digits than its factorization.

512065840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2687 (or 2681 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

The square root of 512065840 is about 22628.8718234030. The cubic root of 512065840 is about 800.0342901969.

The spelling of 512065840 in words is "five hundred twelve million, sixty-five thousand, eight hundred forty".