261234720 has 144 divisors (see below), whose sum is σ = 924618240. Its totient is φ = 69652224.

The previous prime is 261234709. The next prime is 261234749. The reversal of 261234720 is 27432162.

261234720 is a `hidden beast` number, since 2 + 612 + 3 + 47 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35521 + ... + 42239.

It is an arithmetic number, because the mean of its divisors is an integer number (6420960).

Almost surely, 2^261234720 is an apocalyptic number.

261234720 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 261234720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462309120).

261234720 is an abundant number, since it is smaller than the sum of its proper divisors (663383520).

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

261234720 is an equidigital number, since it uses as much as digits as its factorization.

261234720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6749 (or 6729 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 261234720 is about 16162.7571905291. The cubic root of 261234720 is about 639.2591688244.

Adding to 261234720 its reverse (27432162), we get a palindrome (288666882).

The spelling of 261234720 in words is "two hundred sixty-one million, two hundred thirty-four thousand, seven hundred twenty".