268739520 has 336 divisors, whose sum is σ = 1031991840. Its totient is φ = 59006976.

The previous prime is 268739509. The next prime is 268739531. The reversal of 268739520 is 25937862.

It is an interprime number because it is at equal distance from previous prime (268739509) and next prime (268739531).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 1364062 + ... + 1364258.

Almost surely, 2^268739520 is an apocalyptic number.

268739520 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 268739520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515995920).

268739520 is an abundant number, since it is smaller than the sum of its proper divisors (763252320).

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

268739520 is a wasteful number, since it uses less digits than its factorization.

268739520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 268739520 is about 16393.2766706354. The cubic root of 268739520 is about 645.3230519198.

The spelling of 268739520 in words is "two hundred sixty-eight million, seven hundred thirty-nine thousand, five hundred twenty".