516786144 has 144 divisors (see below), whose sum is σ = 1604803536. Its totient is φ = 145152000.

The previous prime is 516786143. The next prime is 516786161. The reversal of 516786144 is 441687615.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 516786096 and 516786105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516786143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 286044 + ... + 287844.

It is an arithmetic number, because the mean of its divisors is an integer number (11144469).

Almost surely, 2^516786144 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 516786144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802401768).

516786144 is an abundant number, since it is smaller than the sum of its proper divisors (1088017392).

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

516786144 is a wasteful number, since it uses less digits than its factorization.

516786144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1889 (or 1874 counting only the distinct ones).

The product of its digits is 161280, while the sum is 42.

The square root of 516786144 is about 22732.9308273262. The cubic root of 516786144 is about 802.4850559615.

The spelling of 516786144 in words is "five hundred sixteen million, seven hundred eighty-six thousand, one hundred forty-four".