268773120 has 576 divisors, whose sum is σ = 1200890880. Its totient is φ = 55296000.

The previous prime is 268773103. The next prime is 268773149. The reversal of 268773120 is 21377862.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2661070 + ... + 2661170.

It is an arithmetic number, because the mean of its divisors is an integer number (2084880).

Almost surely, 2^268773120 is an apocalyptic number.

268773120 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 268773120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600445440).

268773120 is an abundant number, since it is smaller than the sum of its proper divisors (932117760).

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

268773120 is a wasteful number, since it uses less digits than its factorization.

268773120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 268773120 is about 16394.3014489792. The cubic root of 268773120 is about 645.3499453108.

The spelling of 268773120 in words is "two hundred sixty-eight million, seven hundred seventy-three thousand, one hundred twenty".