268377516 has 96 divisors (see below), whose sum is σ = 765730560. Its totient is φ = 81282960.

The previous prime is 268377497. The next prime is 268377553. The reversal of 268377516 is 615773862.

268377516 is a `hidden beast` number, since 2 + 68 + 3 + 77 + 516 = 666.

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, 142815 + ... + 144681.

It is an arithmetic number, because the mean of its divisors is an integer number (7976360).

Almost surely, 2^268377516 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 268377516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382865280).

268377516 is an abundant number, since it is smaller than the sum of its proper divisors (497353044).

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

268377516 is a wasteful number, since it uses less digits than its factorization.

268377516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1913 (or 1883 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 268377516 is about 16382.2317161002. The cubic root of 268377516 is about 645.0331621673.

The spelling of 268377516 in words is "two hundred sixty-eight million, three hundred seventy-seven thousand, five hundred sixteen".