268158240 has 288 divisors, whose sum is σ = 1075576320. Its totient is φ = 59553792.

The previous prime is 268158227. The next prime is 268158259. The reversal of 268158240 is 42851862.

268158240 is a `hidden beast` number, since 268 + 158 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 268158195 and 268158204.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 372601 + ... + 373319.

It is an arithmetic number, because the mean of its divisors is an integer number (3734640).

Almost surely, 2^268158240 is an apocalyptic number.

268158240 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 268158240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537788160).

268158240 is an abundant number, since it is smaller than the sum of its proper divisors (807418080).

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

268158240 is a wasteful number, since it uses less digits than its factorization.

268158240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 773 counting only the distinct ones).

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

The square root of 268158240 is about 16375.5378537622. The cubic root of 268158240 is about 644.8574410014.

The spelling of 268158240 in words is "two hundred sixty-eight million, one hundred fifty-eight thousand, two hundred forty".