261118080 has 384 divisors, whose sum is σ = 989089920. Its totient is φ = 65691648.

The previous prime is 261118063. The next prime is 261118087. The reversal of 261118080 is 80811162.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (261118087) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3576924 + ... + 3576996.

It is an arithmetic number, because the mean of its divisors is an integer number (2575755).

Almost surely, 2^261118080 is an apocalyptic number.

261118080 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 261118080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494544960).

261118080 is an abundant number, since it is smaller than the sum of its proper divisors (727971840).

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

261118080 is an equidigital number, since it uses as much as digits as its factorization.

261118080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 261118080 is about 16159.1484924175. The cubic root of 261118080 is about 639.1640126502.

It can be divided in two parts, 26111 and 8080, that added together give a triangular number (34191 = T₂₆₁).

The spelling of 261118080 in words is "two hundred sixty-one million, one hundred eighteen thousand, eighty".