268673664 has 192 divisors, whose sum is σ = 844192800. Its totient is φ = 75479040.

The previous prime is 268673633. The next prime is 268673677. The reversal of 268673664 is 466376862.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

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

Its product of digits (1741824) is a multiple of the sum of its prime divisors (252).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2050879 + ... + 2051009.

Almost surely, 2^268673664 is an apocalyptic number.

268673664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268673664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422096400).

268673664 is an abundant number, since it is smaller than the sum of its proper divisors (575519136).

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

268673664 is a wasteful number, since it uses less digits than its factorization.

268673664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 252 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 48.

The square root of 268673664 is about 16391.2679192307. The cubic root of 268673664 is about 645.2703343702.

The spelling of 268673664 in words is "two hundred sixty-eight million, six hundred seventy-three thousand, six hundred sixty-four".