268004320 has 96 divisors (see below), whose sum is σ = 688782528. Its totient is φ = 98131968.

The previous prime is 268004311. The next prime is 268004333. The reversal of 268004320 is 23400862.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99309 + ... + 101971.

It is an arithmetic number, because the mean of its divisors is an integer number (7174818).

Almost surely, 2^268004320 is an apocalyptic number.

268004320 is a gapful number since it is divisible by the number (20) 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 268004320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344391264).

268004320 is an abundant number, since it is smaller than the sum of its proper divisors (420778208).

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

268004320 is a wasteful number, since it uses less digits than its factorization.

268004320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2732 (or 2724 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 268004320 is about 16370.8374862131. The cubic root of 268004320 is about 644.7340369321.

It can be divided in two parts, 268004 and 320, that added together give a square (268324 = 518²).

The spelling of 268004320 in words is "two hundred sixty-eight million, four thousand, three hundred twenty".