260632890 has 160 divisors (see below), whose sum is σ = 820321920. Its totient is φ = 58133376.

The previous prime is 260632877. The next prime is 260632891. The reversal of 260632890 is 98236062.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260632891) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 243276 + ... + 244344.

It is an arithmetic number, because the mean of its divisors is an integer number (5127012).

Almost surely, 2^260632890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260632890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410160960).

260632890 is an abundant number, since it is smaller than the sum of its proper divisors (559689030).

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

260632890 is a wasteful number, since it uses less digits than its factorization.

260632890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 260632890 is about 16144.1286540959. The cubic root of 260632890 is about 638.7678850133.

The spelling of 260632890 in words is "two hundred sixty million, six hundred thirty-two thousand, eight hundred ninety".