268871850 has 288 divisors, whose sum is σ = 853070400. Its totient is φ = 60134400.

The previous prime is 268871807. The next prime is 268871851. The reversal of 268871850 is 58178862.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 268871796 and 268871805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268871851) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4557121 + ... + 4557179.

It is an arithmetic number, because the mean of its divisors is an integer number (2962050).

Almost surely, 2^268871850 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268871850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426535200).

268871850 is an abundant number, since it is smaller than the sum of its proper divisors (584198550).

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

268871850 is a wasteful number, since it uses less digits than its factorization.

268871850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The square root of 268871850 is about 16397.3122797610. The cubic root of 268871850 is about 645.4289556920.

The spelling of 268871850 in words is "two hundred sixty-eight million, eight hundred seventy-one thousand, eight hundred fifty".