260361840 has 160 divisors (see below), whose sum is σ = 852374016. Its totient is φ = 65612800.

The previous prime is 260361809. The next prime is 260361853. The reversal of 260361840 is 48163062.

260361840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 260361798 and 260361807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 557287 + ... + 557753.

Almost surely, 2^260361840 is an apocalyptic number.

260361840 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 260361840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426187008).

260361840 is an abundant number, since it is smaller than the sum of its proper divisors (592012176).

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

260361840 is a wasteful number, since it uses less digits than its factorization.

260361840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 260361840 is about 16135.7317776418. The cubic root of 260361840 is about 638.5463753779.

The spelling of 260361840 in words is "two hundred sixty million, three hundred sixty-one thousand, eight hundred forty".