268134672 has 80 divisors (see below), whose sum is σ = 749479808. Its totient is φ = 82114560.

The previous prime is 268134637. The next prime is 268134673. The reversal of 268134672 is 276431862.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 268134672.

It is not an unprimeable number, because it can be changed into a prime (268134673) 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, 149493 + ... + 151275.

Almost surely, 2^268134672 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 268134672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374739904).

268134672 is an abundant number, since it is smaller than the sum of its proper divisors (481345136).

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

268134672 is a wasteful number, since it uses less digits than its factorization.

268134672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2048 (or 2042 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 268134672 is about 16374.8182279987. The cubic root of 268134672 is about 644.8385486172.

It can be divided in two parts, 268 and 134672, that added together give a triangular number (134940 = T₅₁₉).

The spelling of 268134672 in words is "two hundred sixty-eight million, one hundred thirty-four thousand, six hundred seventy-two".