267920160 has 48 divisors (see below), whose sum is σ = 843950016. Its totient is φ = 71445248.

The previous prime is 267920131. The next prime is 267920167. The reversal of 267920160 is 61029762.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (267920167) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 278604 + ... + 279563.

It is an arithmetic number, because the mean of its divisors is an integer number (17582292).

Almost surely, 2^267920160 is an apocalyptic number.

267920160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

267920160 is an abundant number, since it is smaller than the sum of its proper divisors (576029856).

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

267920160 is a wasteful number, since it uses less digits than its factorization.

267920160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558185 (or 558177 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 267920160 is about 16368.2668599947. The cubic root of 267920160 is about 644.6665423766. Note that the first 3 decimals are identical.

The spelling of 267920160 in words is "two hundred sixty-seven million, nine hundred twenty thousand, one hundred sixty".