267234968 has 192 divisors, whose sum is σ = 720990720. Its totient is φ = 89856000.

The previous prime is 267234901. The next prime is 267234977. The reversal of 267234968 is 869432762.

It is a super-2 number, since 2×267234968² = 142829056243922048, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1769693 + ... + 1769843.

It is an arithmetic number, because the mean of its divisors is an integer number (3755160).

Almost surely, 2^267234968 is an apocalyptic number.

267234968 is a gapful number since it is divisible by the number (28) 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 267234968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360495360).

267234968 is an abundant number, since it is smaller than the sum of its proper divisors (453755752).

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

267234968 is a wasteful number, since it uses less digits than its factorization.

267234968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 201 counting only the distinct ones).

The product of its digits is 870912, while the sum is 47.

The square root of 267234968 is about 16347.3229612680. The cubic root of 267234968 is about 644.1165060618.

The spelling of 267234968 in words is "two hundred sixty-seven million, two hundred thirty-four thousand, nine hundred sixty-eight".