261190080 has 168 divisors, whose sum is σ = 909370800. Its totient is φ = 68800512.

The previous prime is 261190079. The next prime is 261190099. The reversal of 261190080 is 80091162.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 255811 + ... + 256829.

Almost surely, 2^261190080 is an apocalyptic number.

261190080 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 261190080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454685400).

261190080 is an abundant number, since it is smaller than the sum of its proper divisors (648180720).

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

261190080 is a wasteful number, since it uses less digits than its factorization.

261190080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1131 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 261190080 is about 16161.3761790263. The cubic root of 261190080 is about 639.2227543757. Note that the first 3 decimals are identical.

The spelling of 261190080 in words is "two hundred sixty-one million, one hundred ninety thousand, eighty".