268398592 has 208 divisors, whose sum is σ = 717138432. Its totient is φ = 97320960.

The previous prime is 268398577. The next prime is 268398631. The reversal of 268398592 is 295893862.

It is a happy number.

Its product of digits (1866240) is a multiple of the sum of its prime divisors (80).

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7253998 + ... + 7254034.

Almost surely, 2^268398592 is an apocalyptic number.

268398592 is a gapful number since it is divisible by the number (22) 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 268398592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358569216).

268398592 is an abundant number, since it is smaller than the sum of its proper divisors (448739840).

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

268398592 is a wasteful number, since it uses less digits than its factorization.

268398592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 80 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 52.

The square root of 268398592 is about 16382.8749613735. The cubic root of 268398592 is about 645.0500467947.

The spelling of 268398592 in words is "two hundred sixty-eight million, three hundred ninety-eight thousand, five hundred ninety-two".