268232832 has 384 divisors, whose sum is σ = 967449600. Its totient is φ = 69672960.

The previous prime is 268232827. The next prime is 268232837. The reversal of 268232832 is 238232862.

It is an interprime number because it is at equal distance from previous prime (268232827) and next prime (268232837).

It is a tau number, because it is divible by the number of its divisors (384).

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

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 (268232837) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7249518 + ... + 7249554.

It is an arithmetic number, because the mean of its divisors is an integer number (2519400).

Almost surely, 2^268232832 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 268232832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483724800).

268232832 is an abundant number, since it is smaller than the sum of its proper divisors (699216768).

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

268232832 is a wasteful number, since it uses less digits than its factorization.

268232832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 109 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 268232832 is about 16377.8152389139. The cubic root of 268232832 is about 644.9172275251.

The spelling of 268232832 in words is "two hundred sixty-eight million, two hundred thirty-two thousand, eight hundred thirty-two".