261083940 has 192 divisors, whose sum is σ = 842956800. Its totient is φ = 59844096.

The previous prime is 261083929. The next prime is 261083947. The reversal of 261083940 is 49380162.

261083940 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (261083947) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1170669 + ... + 1170891.

It is an arithmetic number, because the mean of its divisors is an integer number (4390400).

Almost surely, 2^261083940 is an apocalyptic number.

261083940 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 261083940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421478400).

261083940 is an abundant number, since it is smaller than the sum of its proper divisors (581872860).

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

261083940 is a wasteful number, since it uses less digits than its factorization.

261083940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 261083940 is about 16158.0920903428. The cubic root of 261083940 is about 639.1361555080.

The spelling of 261083940 in words is "two hundred sixty-one million, eighty-three thousand, nine hundred forty".