268927680 has 168 divisors, whose sum is σ = 993422448. Its totient is φ = 61458432.

The previous prime is 268927649. The next prime is 268927699. The reversal of 268927680 is 86729862.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-3 number, since 3×268927680³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44182 + ... + 49898.

Almost surely, 2^268927680 is an apocalyptic number.

268927680 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 268927680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496711224).

268927680 is an abundant number, since it is smaller than the sum of its proper divisors (724494768).

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

268927680 is a wasteful number, since it uses less digits than its factorization.

268927680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5751 (or 5734 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The square root of 268927680 is about 16399.0146045426. The cubic root of 268927680 is about 645.4736260492.

The spelling of 268927680 in words is "two hundred sixty-eight million, nine hundred twenty-seven thousand, six hundred eighty".