260996120 has 128 divisors (see below), whose sum is σ = 740275200. Its totient is φ = 80448000.

The previous prime is 260996107. The next prime is 260996167. The reversal of 260996120 is 21699062.

It is a super-3 number, since 3×260996120³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 310661 + ... + 311499.

It is an arithmetic number, because the mean of its divisors is an integer number (5783400).

Almost surely, 2^260996120 is an apocalyptic number.

260996120 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 260996120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370137600).

260996120 is an abundant number, since it is smaller than the sum of its proper divisors (479279080).

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

260996120 is a wasteful number, since it uses less digits than its factorization.

260996120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 35.

The square root of 260996120 is about 16155.3743379719. The cubic root of 260996120 is about 639.0644860522.

The spelling of 260996120 in words is "two hundred sixty million, nine hundred ninety-six thousand, one hundred twenty".