261360000 has 480 divisors, whose sum is σ = 1059504600. Its totient is φ = 63360000.

The previous prime is 261359999. The next prime is 261360037. The reversal of 261360000 is 63162.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

261360000 is a `hidden beast` number, since 2 + 61 + 3 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 23759995 + ... + 23760005.

Almost surely, 2^261360000 is an apocalyptic number.

261360000 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 261360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529752300).

261360000 is an abundant number, since it is smaller than the sum of its proper divisors (798144600).

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

261360000 is an equidigital number, since it uses as much as digits as its factorization.

261360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 261360000 is about 16166.6323023690. The cubic root of 261360000 is about 639.3613420600.

Multiplying 261360000 by its product of nonzero digits (216), we get a square (56453760000 = 237600²).

261360000 divided by its product of nonzero digits (216) gives a square (1210000 = 1100²).

The spelling of 261360000 in words is "two hundred sixty-one million, three hundred sixty thousand".