261394416 has 60 divisors (see below), whose sum is σ = 735700680. Its totient is φ = 86636160.

The previous prime is 261394411. The next prime is 261394417. The reversal of 261394416 is 614493162.

261394416 is a `hidden beast` number, since 261 + 394 + 4 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261394411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20706 + ... + 30846.

It is an arithmetic number, because the mean of its divisors is an integer number (12261678).

Almost surely, 2^261394416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261394416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367850340).

261394416 is an abundant number, since it is smaller than the sum of its proper divisors (474306264).

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

261394416 is a wasteful number, since it uses less digits than its factorization.

261394416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10334 (or 10325 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 261394416 is about 16167.6966819643. The cubic root of 261394416 is about 639.3894046227.

The spelling of 261394416 in words is "two hundred sixty-one million, three hundred ninety-four thousand, four hundred sixteen".