268747416 has 64 divisors (see below), whose sum is σ = 853171200. Its totient is φ = 76784544.

The previous prime is 268747411. The next prime is 268747421. The reversal of 268747416 is 614747862.

It is an interprime number because it is at equal distance from previous prime (268747411) and next prime (268747421).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268747411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87360 + ... + 90383.

It is an arithmetic number, because the mean of its divisors is an integer number (13330800).

Almost surely, 2^268747416 is an apocalyptic number.

It is an amenable number.

268747416 is an abundant number, since it is smaller than the sum of its proper divisors (584423784).

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

268747416 is a wasteful number, since it uses less digits than its factorization.

268747416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177765 (or 177755 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 268747416 is about 16393.5174993044. The cubic root of 268747416 is about 645.3293720681.

The spelling of 268747416 in words is "two hundred sixty-eight million, seven hundred forty-seven thousand, four hundred sixteen".