268861950 has 192 divisors, whose sum is σ = 884229120. Its totient is φ = 58734720.

The previous prime is 268861939. The next prime is 268861979. The reversal of 268861950 is 59168862.

268861950 is a `hidden beast` number, since 26 + 8 + 8 + 619 + 5 + 0 = 666.

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 = 268861896 and 268861905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 216732 + ... + 217968.

It is an arithmetic number, because the mean of its divisors is an integer number (4605360).

Almost surely, 2^268861950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268861950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442114560).

268861950 is an abundant number, since it is smaller than the sum of its proper divisors (615367170).

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

268861950 is a wasteful number, since it uses less digits than its factorization.

268861950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1288 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 268861950 is about 16397.0103982403. The cubic root of 268861950 is about 645.4210339192.

The spelling of 268861950 in words is "two hundred sixty-eight million, eight hundred sixty-one thousand, nine hundred fifty".