261220960 has 288 divisors, whose sum is σ = 847016352. Its totient is φ = 74833920.

The previous prime is 261220957. The next prime is 261220991. The reversal of 261220960 is 69022162.

261220960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

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, 1121004 + ... + 1121236.

It is an arithmetic number, because the mean of its divisors is an integer number (2941029).

Almost surely, 2^261220960 is an apocalyptic number.

261220960 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 261220960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423508176).

261220960 is an abundant number, since it is smaller than the sum of its proper divisors (585795392).

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

261220960 is a wasteful number, since it uses less digits than its factorization.

261220960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 261220960 is about 16162.3315149764. The cubic root of 261220960 is about 639.2479447413.

The spelling of 261220960 in words is "two hundred sixty-one million, two hundred twenty thousand, nine hundred sixty".