268515000 has 480 divisors, whose sum is σ = 1074593520. Its totient is φ = 62208000.

The previous prime is 268514977. The next prime is 268515019. The reversal of 268515000 is 515862.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 15794992 + ... + 15795008.

Almost surely, 2^268515000 is an apocalyptic number.

268515000 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 268515000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537296760).

268515000 is an abundant number, since it is smaller than the sum of its proper divisors (806078520).

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

268515000 is a wasteful number, since it uses less digits than its factorization.

268515000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 268515000 is about 16386.4273104298. The cubic root of 268515000 is about 645.1432888794.

The spelling of 268515000 in words is "two hundred sixty-eight million, five hundred fifteen thousand".