261792000 has 360 divisors, whose sum is σ = 983854872. Its totient is φ = 69120000.

The previous prime is 261791953. The next prime is 261792001. The reversal of 261792000 is 297162.

It can be written as a sum of positive squares in 4 ways, for example, as 1679616 + 260112384 = 1296^2 + 16128^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261792001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2591950 + ... + 2592050.

Almost surely, 2^261792000 is an apocalyptic number.

261792000 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 261792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491927436).

261792000 is an abundant number, since it is smaller than the sum of its proper divisors (722062872).

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

261792000 is an equidigital number, since it uses as much as digits as its factorization.

261792000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 261792000 is about 16179.9876390558. The cubic root of 261792000 is about 639.7134133547.

The spelling of 261792000 in words is "two hundred sixty-one million, seven hundred ninety-two thousand".