260815632 has 240 divisors, whose sum is σ = 906852672. Its totient is φ = 63651840.

The previous prime is 260815609. The next prime is 260815651. The reversal of 260815632 is 236518062.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 260815593 and 260815602.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 439528 + ... + 440120.

Almost surely, 2^260815632 is an apocalyptic number.

260815632 is a gapful number since it is divisible by the number (22) 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 260815632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453426336).

260815632 is an abundant number, since it is smaller than the sum of its proper divisors (646037040).

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

260815632 is a wasteful number, since it uses less digits than its factorization.

260815632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 260815632 is about 16149.7873670213. The cubic root of 260815632 is about 638.9171402230.

It can be divided in two parts, 26081 and 5632, that added together give a palindrome (31713).

The spelling of 260815632 in words is "two hundred sixty million, eight hundred fifteen thousand, six hundred thirty-two".