261024120 has 320 divisors, whose sum is σ = 1063212480. Its totient is φ = 56070144.

The previous prime is 261024107. The next prime is 261024131. The reversal of 261024120 is 21420162.

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

It is a junction number, because it is equal to n+sod(n) for n = 261024093 and 261024102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 385222 + ... + 385898.

It is an arithmetic number, because the mean of its divisors is an integer number (3322539).

Almost surely, 2^261024120 is an apocalyptic number.

261024120 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 261024120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531606240).

261024120 is an abundant number, since it is smaller than the sum of its proper divisors (802188360).

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

261024120 is a wasteful number, since it uses less digits than its factorization.

261024120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 261024120 is about 16156.2408994172. The cubic root of 261024120 is about 639.0873384555.

Adding to 261024120 its reverse (21420162), we get a palindrome (282444282).

The spelling of 261024120 in words is "two hundred sixty-one million, twenty-four thousand, one hundred twenty".