268142550 has 96 divisors (see below), whose sum is σ = 720787200. Its totient is φ = 65577600.

The previous prime is 268142543. The next prime is 268142557. The reversal of 268142550 is 55241862.

It is an interprime number because it is at equal distance from previous prime (268142543) and next prime (268142557).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268142557) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 387705 + ... + 388395.

It is an arithmetic number, because the mean of its divisors is an integer number (7508200).

Almost surely, 2^268142550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268142550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360393600).

268142550 is an abundant number, since it is smaller than the sum of its proper divisors (452644650).

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

268142550 is a wasteful number, since it uses less digits than its factorization.

268142550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 268142550 is about 16375.0587785205. The cubic root of 268142550 is about 644.8448638372.

The spelling of 268142550 in words is "two hundred sixty-eight million, one hundred forty-two thousand, five hundred fifty".