518042736 has 160 divisors (see below), whose sum is σ = 1554186240. Its totient is φ = 165024000.

The previous prime is 518042729. The next prime is 518042741. The reversal of 518042736 is 637240815.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 518042736.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1352401 + ... + 1352783.

It is an arithmetic number, because the mean of its divisors is an integer number (9713664).

Almost surely, 2^518042736 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 518042736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777093120).

518042736 is an abundant number, since it is smaller than the sum of its proper divisors (1036143504).

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

518042736 is a wasteful number, since it uses less digits than its factorization.

518042736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 518042736 is about 22760.5521901381. The cubic root of 518042736 is about 803.1349573394.

The spelling of 518042736 in words is "five hundred eighteen million, forty-two thousand, seven hundred thirty-six".