518897664 has 300 divisors, whose sum is σ = 1712796624. Its totient is φ = 155713536.

The previous prime is 518897663. The next prime is 518897683. The reversal of 518897664 is 466798815.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (2903040) is a multiple of the sum of its prime divisors (45).

It is a self number, because there is not a number n which added to its sum of digits gives 518897664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (518897663) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 22560757 + ... + 22560779.

Almost surely, 2^518897664 is an apocalyptic number.

518897664 is a gapful number since it is divisible by the number (54) 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 518897664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856398312).

518897664 is an abundant number, since it is smaller than the sum of its proper divisors (1193898960).

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

518897664 is an equidigital number, since it uses as much as digits as its factorization.

518897664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 45 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 518897664 is about 22779.3253631445. The cubic root of 518897664 is about 803.5765201354.

The spelling of 518897664 in words is "five hundred eighteen million, eight hundred ninety-seven thousand, six hundred sixty-four".