262952560 has 80 divisors (see below), whose sum is σ = 687081024. Its totient is φ = 92860416.

The previous prime is 262952519. The next prime is 262952567. The reversal of 262952560 is 65259262.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (262952567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18424 + ... + 29416.

Almost surely, 2^262952560 is an apocalyptic number.

262952560 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 262952560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343540512).

262952560 is an abundant number, since it is smaller than the sum of its proper divisors (424128464).

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

262952560 is a wasteful number, since it uses less digits than its factorization.

262952560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11042 (or 11036 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 37.

The square root of 262952560 is about 16215.8120364045. The cubic root of 262952560 is about 640.6573324471.

The spelling of 262952560 in words is "two hundred sixty-two million, nine hundred fifty-two thousand, five hundred sixty".