268611840 has 216 divisors, whose sum is σ = 1062454848. Its totient is φ = 61378560.

The previous prime is 268611809. The next prime is 268611859. The reversal of 268611840 is 48116862.

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

It is a junction number, because it is equal to n+sod(n) for n = 268611795 and 268611804.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78975 + ... + 82305.

Almost surely, 2^268611840 is an apocalyptic number.

268611840 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 268611840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531227424).

268611840 is an abundant number, since it is smaller than the sum of its proper divisors (793843008).

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

268611840 is a wasteful number, since it uses less digits than its factorization.

268611840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3365 (or 3348 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 268611840 is about 16389.3819285536. The cubic root of 268611840 is about 645.2208365856.

The spelling of 268611840 in words is "two hundred sixty-eight million, six hundred eleven thousand, eight hundred forty".