268193520 has 240 divisors, whose sum is σ = 1039933440. Its totient is φ = 60673536.

The previous prime is 268193507. The next prime is 268193521. The reversal of 268193520 is 25391862.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268193521) 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, 639871 + ... + 640289.

It is an arithmetic number, because the mean of its divisors is an integer number (4333056).

Almost surely, 2^268193520 is an apocalyptic number.

268193520 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 268193520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519966720).

268193520 is an abundant number, since it is smaller than the sum of its proper divisors (771739920).

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

268193520 is a wasteful number, since it uses less digits than its factorization.

268193520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 268193520 is about 16376.6150348599. The cubic root of 268193520 is about 644.8857197928.

The spelling of 268193520 in words is "two hundred sixty-eight million, one hundred ninety-three thousand, five hundred twenty".