261904104 has 320 divisors, whose sum is σ = 951350400. Its totient is φ = 65318400.

The previous prime is 261904073. The next prime is 261904109. The reversal of 261904104 is 401409162.

261904104 is a `hidden beast` number, since 2 + 619 + 0 + 41 + 0 + 4 = 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 (261904109) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1446894 + ... + 1447074.

It is an arithmetic number, because the mean of its divisors is an integer number (2972970).

Almost surely, 2^261904104 is an apocalyptic number.

261904104 is a gapful number since it is divisible by the number (24) 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 261904104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475675200).

261904104 is an abundant number, since it is smaller than the sum of its proper divisors (689446296).

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

261904104 is a wasteful number, since it uses less digits than its factorization.

261904104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 261904104 is about 16183.4515478003. The cubic root of 261904104 is about 639.8047125521.

The spelling of 261904104 in words is "two hundred sixty-one million, nine hundred four thousand, one hundred four".