260628732 has 192 divisors, whose sum is σ = 868546560. Its totient is φ = 65691648.

The previous prime is 260628721. The next prime is 260628733. The reversal of 260628732 is 237826062.

260628732 is a `hidden beast` number, since 26 + 0 + 628 + 7 + 3 + 2 = 666.

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 (260628733) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 225468 + ... + 226620.

It is an arithmetic number, because the mean of its divisors is an integer number (4523680).

Almost surely, 2^260628732 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260628732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434273280).

260628732 is an abundant number, since it is smaller than the sum of its proper divisors (607917828).

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

260628732 is a wasteful number, since it uses less digits than its factorization.

260628732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1209 (or 1201 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 260628732 is about 16143.9998761150. Note that the first 3 decimals coincide. The cubic root of 260628732 is about 638.7644881397.

The spelling of 260628732 in words is "two hundred sixty million, six hundred twenty-eight thousand, seven hundred thirty-two".