267800540 has 48 divisors (see below), whose sum is σ = 646494912. Its totient is φ = 91278336.

The previous prime is 267800483. The next prime is 267800593. The reversal of 267800540 is 45008762.

It is a junction number, because it is equal to n+sod(n) for n = 267800497 and 267800506.

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, 18692 + ... + 29748.

It is an arithmetic number, because the mean of its divisors is an integer number (13468644).

Almost surely, 2^267800540 is an apocalyptic number.

267800540 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 267800540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323247456).

267800540 is an abundant number, since it is smaller than the sum of its proper divisors (378694372).

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

267800540 is a wasteful number, since it uses less digits than its factorization.

267800540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11246 (or 11244 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 267800540 is about 16364.6124304855. The cubic root of 267800540 is about 644.5705853182.

The spelling of 267800540 in words is "two hundred sixty-seven million, eight hundred thousand, five hundred forty".