262832960 has 224 divisors, whose sum is σ = 731227392. Its totient is φ = 89210880.

The previous prime is 262832951. The next prime is 262832987. The reversal of 262832960 is 69238262.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3922847 + ... + 3922913.

It is an arithmetic number, because the mean of its divisors is an integer number (3264408).

Almost surely, 2^262832960 is an apocalyptic number.

262832960 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 262832960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365613696).

262832960 is an abundant number, since it is smaller than the sum of its proper divisors (468394432).

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

262832960 is a wasteful number, since it uses less digits than its factorization.

262832960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 38.

The square root of 262832960 is about 16212.1238583968. The cubic root of 262832960 is about 640.5601866136.

The spelling of 262832960 in words is "two hundred sixty-two million, eight hundred thirty-two thousand, nine hundred sixty".