261614240 has 48 divisors (see below), whose sum is σ = 624221640. Its totient is φ = 103603200.

The previous prime is 261614219. The next prime is 261614303. The reversal of 261614240 is 42416162.

It can be written as a sum of positive squares in 4 ways, for example, as 253064464 + 8549776 = 15908^2 + 2924^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8066 + ... + 24254.

Almost surely, 2^261614240 is an apocalyptic number.

261614240 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 261614240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312110820).

261614240 is an abundant number, since it is smaller than the sum of its proper divisors (362607400).

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

261614240 is a wasteful number, since it uses less digits than its factorization.

261614240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16305 (or 16297 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 261614240 is about 16174.4935005706. The cubic root of 261614240 is about 639.5685894689.

The spelling of 261614240 in words is "two hundred sixty-one million, six hundred fourteen thousand, two hundred forty".