268801920 has 192 divisors, whose sum is σ = 969040800. Its totient is φ = 68530176.

The previous prime is 268801903. The next prime is 268801933. The reversal of 268801920 is 29108862.

It is a tau number, because it is divible by the number of its divisors (192).

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131466 + ... + 133494.

Almost surely, 2^268801920 is an apocalyptic number.

268801920 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 268801920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484520400).

268801920 is an abundant number, since it is smaller than the sum of its proper divisors (700238880).

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

268801920 is a wasteful number, since it uses less digits than its factorization.

268801920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2077 (or 2062 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 268801920 is about 16395.1797794352. The cubic root of 268801920 is about 645.3729950049.

The spelling of 268801920 in words is "two hundred sixty-eight million, eight hundred one thousand, nine hundred twenty".