267981120 has 252 divisors, whose sum is σ = 1014473460. Its totient is φ = 64880640.

The previous prime is 267981097. The next prime is 267981137. The reversal of 267981120 is 21189762.

It can be written as a sum of positive squares in 2 ways, for example, as 100641024 + 167340096 = 10032^2 + 12936^2 .

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 (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 348096 + ... + 348864.

Almost surely, 2^267981120 is an apocalyptic number.

267981120 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 267981120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507236730).

267981120 is an abundant number, since it is smaller than the sum of its proper divisors (746492340).

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

267981120 is a wasteful number, since it uses less digits than its factorization.

267981120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 267981120 is about 16370.1288938114. The cubic root of 267981120 is about 644.7154324293.

The spelling of 267981120 in words is "two hundred sixty-seven million, nine hundred eighty-one thousand, one hundred twenty".