261054360 has 192 divisors, whose sum is σ = 1012456800. Its totient is φ = 59657472.

The previous prime is 261054331. The next prime is 261054361. The reversal of 261054360 is 63450162.

261054360 is a `hidden beast` number, since 2 + 61 + 0 + 543 + 60 = 666.

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 (261054361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50454 + ... + 55386.

Almost surely, 2^261054360 is an apocalyptic number.

261054360 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 261054360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506228400).

261054360 is an abundant number, since it is smaller than the sum of its proper divisors (751402440).

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

261054360 is a wasteful number, since it uses less digits than its factorization.

261054360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4967 (or 4950 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 261054360 is about 16157.1767335757. The cubic root of 261054360 is about 639.1120172155.

The spelling of 261054360 in words is "two hundred sixty-one million, fifty-four thousand, three hundred sixty".