268551864 has 96 divisors (see below), whose sum is σ = 867409920. Its totient is φ = 73389888.

The previous prime is 268551863. The next prime is 268551923. The reversal of 268551864 is 468155862.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268551863) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9 + ... + 23175.

It is an arithmetic number, because the mean of its divisors is an integer number (9035520).

Almost surely, 2^268551864 is an apocalyptic number.

268551864 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 268551864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433704960).

268551864 is an abundant number, since it is smaller than the sum of its proper divisors (598858056).

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

268551864 is a wasteful number, since it uses less digits than its factorization.

268551864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23209 (or 23202 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The square root of 268551864 is about 16387.5521051803. The cubic root of 268551864 is about 645.1728110960.

The spelling of 268551864 in words is "two hundred sixty-eight million, five hundred fifty-one thousand, eight hundred sixty-four".