268481720 has 64 divisors (see below), whose sum is σ = 652458240. Its totient is φ = 98841600.

The previous prime is 268481693. The next prime is 268481747. The reversal of 268481720 is 27184862.

It is an interprime number because it is at equal distance from previous prime (268481693) and next prime (268481747).

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

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, 270425 + ... + 271415.

It is an arithmetic number, because the mean of its divisors is an integer number (10194660).

Almost surely, 2^268481720 is an apocalyptic number.

268481720 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 268481720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326229120).

268481720 is an abundant number, since it is smaller than the sum of its proper divisors (383976520).

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

268481720 is a wasteful number, since it uses less digits than its factorization.

268481720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1536 (or 1532 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 38.

The square root of 268481720 is about 16385.4118044070. The cubic root of 268481720 is about 645.1166345575.

The spelling of 268481720 in words is "two hundred sixty-eight million, four hundred eighty-one thousand, seven hundred twenty".