268220988 has 72 divisors (see below), whose sum is σ = 777608832. Its totient is φ = 76362912.

The previous prime is 268220977. The next prime is 268221001. The reversal of 268220988 is 889022862.

It is a super-2 number, since 2×268220988² = 143884996807392288, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75631 + ... + 79097.

Almost surely, 2^268220988 is an apocalyptic number.

268220988 is a gapful number since it is divisible by the number (28) 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 268220988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388804416).

268220988 is an abundant number, since it is smaller than the sum of its proper divisors (509387844).

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

268220988 is a wasteful number, since it uses less digits than its factorization.

268220988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3791 (or 3786 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 268220988 is about 16377.4536482324. The cubic root of 268220988 is about 644.9077351349.

The spelling of 268220988 in words is "two hundred sixty-eight million, two hundred twenty thousand, nine hundred eighty-eight".