268087680 has 384 divisors, whose sum is σ = 1085198400. Its totient is φ = 59719680.

The previous prime is 268087661. The next prime is 268087697. The reversal of 268087680 is 86780862.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×268087680³ (a number of 26 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2459466 + ... + 2459574.

Almost surely, 2^268087680 is an apocalyptic number.

268087680 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 268087680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542599200).

268087680 is an abundant number, since it is smaller than the sum of its proper divisors (817110720).

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

268087680 is a wasteful number, since it uses less digits than its factorization.

268087680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 268087680 is about 16373.3832789683. The cubic root of 268087680 is about 644.8008759765.

The spelling of 268087680 in words is "two hundred sixty-eight million, eighty-seven thousand, six hundred eighty".