260881920 has 360 divisors, whose sum is σ = 992956536. Its totient is φ = 63258624.

The previous prime is 260881919. The next prime is 260881921. The reversal of 260881920 is 29188062.

It is an interprime number because it is at equal distance from previous prime (260881919) and next prime (260881921).

It is a tau number, because it is divible by the number of its divisors (360).

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 (260881921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3893727 + ... + 3893793.

Almost surely, 2^260881920 is an apocalyptic number.

260881920 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 260881920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496478268).

260881920 is an abundant number, since it is smaller than the sum of its proper divisors (732074616).

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

260881920 is a wasteful number, since it uses less digits than its factorization.

260881920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 260881920 is about 16151.8395237199. The cubic root of 260881920 is about 638.9712639623.

The spelling of 260881920 in words is "two hundred sixty million, eight hundred eighty-one thousand, nine hundred twenty".