268017984 has 280 divisors, whose sum is σ = 885508008. Its totient is φ = 79626240.

The previous prime is 268017983. The next prime is 268018021. The reversal of 268017984 is 489710862.

268017984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3240000 + 264777984 = 1800^2 + 16272^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268017983) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2763024 + ... + 2763120.

Almost surely, 2^268017984 is an apocalyptic number.

268017984 is a gapful number since it is divisible by the number (24) 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 268017984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442754004).

268017984 is an abundant number, since it is smaller than the sum of its proper divisors (617490024).

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

268017984 is a wasteful number, since it uses less digits than its factorization.

268017984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 268017984 is about 16371.2548083524. The cubic root of 268017984 is about 644.7449938402.

It can be divided in two parts, 26 and 8017984, that added together give a triangular number (8018010 = T₄₀₀₄).

The spelling of 268017984 in words is "two hundred sixty-eight million, seventeen thousand, nine hundred eighty-four".