261970410 has 64 divisors (see below), whose sum is σ = 685335168. Its totient is φ = 63700224.

The previous prime is 261970409. The next prime is 261970411. The reversal of 261970410 is 14079162.

It is a happy number.

261970410 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (261970409) and next prime (261970411).

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

It is not an unprimeable number, because it can be changed into a prime (261970411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28324 + ... + 36416.

It is an arithmetic number, because the mean of its divisors is an integer number (10708362).

Almost surely, 2^261970410 is an apocalyptic number.

It is a pronic number, being equal to 16185×16186.

It is a practical number, because each smaller number is the sum of distinct divisors of 261970410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342667584).

261970410 is an abundant number, since it is smaller than the sum of its proper divisors (423364758).

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

261970410 is a wasteful number, since it uses less digits than its factorization.

261970410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8199.

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 261970410 is about 16185.4999922770. The cubic root of 261970410 is about 639.8587009027.

The spelling of 261970410 in words is "two hundred sixty-one million, nine hundred seventy thousand, four hundred ten".