268017640 has 128 divisors (see below), whose sum is σ = 686517120. Its totient is φ = 93312000.

The previous prime is 268017637. The next prime is 268017649. The reversal of 268017640 is 46710862.

It is a junction number, because it is equal to n+sod(n) for n = 268017596 and 268017605.

It is not an unprimeable number, because it can be changed into a prime (268017649) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1644199 + ... + 1644361.

It is an arithmetic number, because the mean of its divisors is an integer number (5363415).

Almost surely, 2^268017640 is an apocalyptic number.

268017640 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 268017640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343258560).

268017640 is an abundant number, since it is smaller than the sum of its proper divisors (418499480).

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

268017640 is a wasteful number, since it uses less digits than its factorization.

268017640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 268017640 is about 16371.2443021293. The cubic root of 268017640 is about 644.7447179976.

The spelling of 268017640 in words is "two hundred sixty-eight million, seventeen thousand, six hundred forty".