267948 has 30 divisors (see below), whose sum is σ = 701316. Its totient is φ = 89208.

The previous prime is 267941. The next prime is 267959. The reversal of 267948 is 849762.

It is a super-2 number, since 2×267948² = 143592261408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (267941) by changing a digit.

267948 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 90 + ... + 737.

2²⁶⁷⁹⁴⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 267948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350658).

267948 is an abundant number, since it is smaller than the sum of its proper divisors (433368).

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

267948 is a wasteful number, since it uses less digits than its factorization.

267948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843 (or 832 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 267948 is about 517.6369384037. The cubic root of 267948 is about 64.4688871037.

It can be divided in two parts, 267 and 948, that multiplied together give a triangular number (253116 = T₇₁₁).

The spelling of 267948 in words is "two hundred sixty-seven thousand, nine hundred forty-eight".