168516936 has 160 divisors (see below), whose sum is σ = 546416640. Its totient is φ = 47526912.

The previous prime is 168516919. The next prime is 168516979. The reversal of 168516936 is 639615861.

168516936 = 119² + 120² + ... + 797².

It is a junction number, because it is equal to n+sod(n) for n = 168516891 and 168516900.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 439801 + ... + 440183.

It is an arithmetic number, because the mean of its divisors is an integer number (3415104).

Almost surely, 2^168516936 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 168516936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273208320).

168516936 is an abundant number, since it is smaller than the sum of its proper divisors (377899704).

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

168516936 is a wasteful number, since it uses less digits than its factorization.

168516936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 492 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 168516936 is about 12981.4073197015. The cubic root of 168516936 is about 552.3502031059.

The spelling of 168516936 in words is "one hundred sixty-eight million, five hundred sixteen thousand, nine hundred thirty-six".