261187416 has 160 divisors (see below), whose sum is σ = 848897280. Its totient is φ = 73483200.

The previous prime is 261187393. The next prime is 261187417. The reversal of 261187416 is 614781162.

It is a happy number.

261187416 is a `hidden beast` number, since 2 + 61 + 187 + 416 = 666.

It is a super-4 number, since 4×261187416⁴ (a number of 35 digits) contains 4444 as substring.

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 (261187417) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 321651 + ... + 322461.

It is an arithmetic number, because the mean of its divisors is an integer number (5305608).

Almost surely, 2^261187416 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 261187416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424448640).

261187416 is an abundant number, since it is smaller than the sum of its proper divisors (587709864).

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

261187416 is a wasteful number, since it uses less digits than its factorization.

261187416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907 (or 894 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 261187416 is about 16161.2937600924. The cubic root of 261187416 is about 639.2205811242.

The spelling of 261187416 in words is "two hundred sixty-one million, one hundred eighty-seven thousand, four hundred sixteen".