262960560 has 160 divisors (see below), whose sum is σ = 923244480. Its totient is φ = 68769792.

The previous prime is 262960549. The next prime is 262960567. The reversal of 262960560 is 65069262.

262960560 is a `hidden beast` number, since 2 + 6 + 2 + 96 + 0 + 560 = 666.

It is a super-2 number, since 2×262960560² = 138296512231027200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (262960567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113332 + ... + 115628.

It is an arithmetic number, because the mean of its divisors is an integer number (5770278).

Almost surely, 2^262960560 is an apocalyptic number.

262960560 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 262960560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461622240).

262960560 is an abundant number, since it is smaller than the sum of its proper divisors (660283920).

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

262960560 is a wasteful number, since it uses less digits than its factorization.

262960560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2372 (or 2360 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 262960560 is about 16216.0587073432. The cubic root of 262960560 is about 640.6638294450.

The spelling of 262960560 in words is "two hundred sixty-two million, nine hundred sixty thousand, five hundred sixty".