268820664 has 192 divisors, whose sum is σ = 842140800. Its totient is φ = 71076096.

The previous prime is 268820663. The next prime is 268820687. The reversal of 268820664 is 466028862.

It is a Harshad number since it is a multiple of its sum of digits (42).

268820664 is a modest number, since divided by 20664 gives 2688 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268820663) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1184119 + ... + 1184345.

It is an arithmetic number, because the mean of its divisors is an integer number (4386150).

Almost surely, 2^268820664 is an apocalyptic number.

268820664 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 268820664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421070400).

268820664 is an abundant number, since it is smaller than the sum of its proper divisors (573320136).

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

268820664 is a wasteful number, since it uses less digits than its factorization.

268820664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 268820664 is about 16395.7514008965. The cubic root of 268820664 is about 645.3879956297.

The spelling of 268820664 in words is "two hundred sixty-eight million, eight hundred twenty thousand, six hundred sixty-four".