261204160 has 112 divisors (see below), whose sum is σ = 735543360. Its totient is φ = 86446080.

The previous prime is 261204149. The next prime is 261204161. The reversal of 261204160 is 61402162.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×261204160² = 136455226402611200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (261204161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62950 + ... + 66970.

Almost surely, 2^261204160 is an apocalyptic number.

261204160 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 261204160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367771680).

261204160 is an abundant number, since it is smaller than the sum of its proper divisors (474339200).

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

261204160 is a wasteful number, since it uses less digits than its factorization.

261204160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4074 (or 4064 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 261204160 is about 16161.8117796242. The cubic root of 261204160 is about 639.2342403845.

The spelling of 261204160 in words is "two hundred sixty-one million, two hundred four thousand, one hundred sixty".