267561440 has 48 divisors (see below), whose sum is σ = 635675040. Its totient is φ = 106421760.

The previous prime is 267561431. The next prime is 267561443. The reversal of 267561440 is 44165762.

It is a self number, because there is not a number n which added to its sum of digits gives 267561440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (267561443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24341 + ... + 33579.

It is an arithmetic number, because the mean of its divisors is an integer number (13243230).

Almost surely, 2^267561440 is an apocalyptic number.

267561440 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 267561440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317837520).

267561440 is an abundant number, since it is smaller than the sum of its proper divisors (368113600).

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

267561440 is a wasteful number, since it uses less digits than its factorization.

267561440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9435 (or 9427 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 267561440 is about 16357.3054015629. The cubic root of 267561440 is about 644.3786978332.

It can be divided in two parts, 267561 and 440, that multiplied together give a triangular number (117726840 = T₁₅₃₄₄).

The spelling of 267561440 in words is "two hundred sixty-seven million, five hundred sixty-one thousand, four hundred forty".