261418080 has 288 divisors, whose sum is σ = 1036046592. Its totient is φ = 54236160.

The previous prime is 261418063. The next prime is 261418099. The reversal of 261418080 is 80814162.

261418080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 406239 + ... + 406881.

It is an arithmetic number, because the mean of its divisors is an integer number (3597384).

Almost surely, 2^261418080 is an apocalyptic number.

261418080 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 261418080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518023296).

261418080 is an abundant number, since it is smaller than the sum of its proper divisors (774628512).

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

261418080 is a wasteful number, since it uses less digits than its factorization.

261418080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 261418080 is about 16168.4284950641. The cubic root of 261418080 is about 639.4086986517.

The spelling of 261418080 in words is "two hundred sixty-one million, four hundred eighteen thousand, eighty".