266832384 has 320 divisors, whose sum is σ = 923940864. Its totient is φ = 66502656.

The previous prime is 266832383. The next prime is 266832421. The reversal of 266832384 is 483238662.

266832384 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×266832384² = 142399042302246912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (266832383) 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 31 ways as a sum of consecutive naturals, for example, 3214807 + ... + 3214889.

Almost surely, 2^266832384 is an apocalyptic number.

266832384 is a gapful number since it is divisible by the number (24) 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 266832384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461970432).

266832384 is an abundant number, since it is smaller than the sum of its proper divisors (657108480).

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

266832384 is a wasteful number, since it uses less digits than its factorization.

266832384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 131 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The square root of 266832384 is about 16335.0048668496. The cubic root of 266832384 is about 643.7928940658.

The spelling of 266832384 in words is "two hundred sixty-six million, eight hundred thirty-two thousand, three hundred eighty-four".