261057120 has 96 divisors (see below), whose sum is σ = 829779552. Its totient is φ = 68984832.

The previous prime is 261057119. The next prime is 261057133. The reversal of 261057120 is 21750162.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51834 + ... + 56646.

It is an arithmetic number, because the mean of its divisors is an integer number (8643537).

Almost surely, 2^261057120 is an apocalyptic number.

261057120 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 261057120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414889776).

261057120 is an abundant number, since it is smaller than the sum of its proper divisors (568722432).

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

261057120 is a wasteful number, since it uses less digits than its factorization.

261057120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4944 (or 4936 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 261057120 is about 16157.2621443115. The cubic root of 261057120 is about 639.1142695471.

The spelling of 261057120 in words is "two hundred sixty-one million, fifty-seven thousand, one hundred twenty".