268213680 has 360 divisors, whose sum is σ = 1083612192. Its totient is φ = 60466176.

The previous prime is 268213669. The next prime is 268213691. The reversal of 268213680 is 86312862.

It is an interprime number because it is at equal distance from previous prime (268213669) and next prime (268213691).

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3674124 + ... + 3674196.

Almost surely, 2^268213680 is an apocalyptic number.

268213680 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 268213680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541806096).

268213680 is an abundant number, since it is smaller than the sum of its proper divisors (815398512).

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

268213680 is an frugal number, since it uses more digits than its factorization.

268213680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 268213680 is about 16377.2305351057. The cubic root of 268213680 is about 644.9018779888.

The spelling of 268213680 in words is "two hundred sixty-eight million, two hundred thirteen thousand, six hundred eighty".