268364880 has 160 divisors (see below), whose sum is σ = 1056480000. Its totient is φ = 61337088.

The previous prime is 268364857. The next prime is 268364903. The reversal of 268364880 is 88463862.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (268364857) and next prime (268364903).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6246 + ... + 23994.

It is an arithmetic number, because the mean of its divisors is an integer number (6603000).

Almost surely, 2^268364880 is an apocalyptic number.

268364880 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 268364880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528240000).

268364880 is an abundant number, since it is smaller than the sum of its proper divisors (788115120).

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

268364880 is a wasteful number, since it uses less digits than its factorization.

268364880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17778 (or 17766 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 268364880 is about 16381.8460498199. The cubic root of 268364880 is about 645.0230386579.

The spelling of 268364880 in words is "two hundred sixty-eight million, three hundred sixty-four thousand, eight hundred eighty".