268689330 has 192 divisors, whose sum is σ = 877443840. Its totient is φ = 55531008.

The previous prime is 268689293. The next prime is 268689331. The reversal of 268689330 is 33986862.

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 not an unprimeable number, because it can be changed into a prime (268689331) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 433761 + ... + 434379.

It is an arithmetic number, because the mean of its divisors is an integer number (4570020).

Almost surely, 2^268689330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268689330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438721920).

268689330 is an abundant number, since it is smaller than the sum of its proper divisors (608754510).

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

268689330 is a wasteful number, since it uses less digits than its factorization.

268689330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 268689330 is about 16391.7457886584. The cubic root of 268689330 is about 645.2828757416.

The spelling of 268689330 in words is "two hundred sixty-eight million, six hundred eighty-nine thousand, three hundred thirty".