268418052 has 72 divisors (see below), whose sum is σ = 777672896. Its totient is φ = 76469184.

The previous prime is 268418047. The next prime is 268418069. The reversal of 268418052 is 250814862.

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 = 268417998 and 268418016.

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, 98703 + ... + 101385.

Almost surely, 2^268418052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268418052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388836448).

268418052 is an abundant number, since it is smaller than the sum of its proper divisors (509254844).

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

268418052 is a wasteful number, since it uses less digits than its factorization.

268418052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3097 (or 3092 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 268418052 is about 16383.4688634611. The cubic root of 268418052 is about 645.0656360103.

It can be divided in two parts, 2684 and 18052, that added together give a 4-th power (20736 = 12⁴).

The spelling of 268418052 in words is "two hundred sixty-eight million, four hundred eighteen thousand, fifty-two".