261152120 has 32 divisors (see below), whose sum is σ = 613141920. Its totient is φ = 99918720.

The previous prime is 261152107. The next prime is 261152123. The reversal of 261152120 is 21251162.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 261152092 and 261152101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261152123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 141011 + ... + 142850.

It is an arithmetic number, because the mean of its divisors is an integer number (19160685).

Almost surely, 2^261152120 is an apocalyptic number.

261152120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261152120 is an abundant number, since it is smaller than the sum of its proper divisors (351989800).

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

261152120 is a wasteful number, since it uses less digits than its factorization.

261152120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283895 (or 283891 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 261152120 is about 16160.2017314141. The cubic root of 261152120 is about 639.1917857782.

The spelling of 261152120 in words is "two hundred sixty-one million, one hundred fifty-two thousand, one hundred twenty".