261070992 has 320 divisors, whose sum is σ = 958272000. Its totient is φ = 66189312.

The previous prime is 261070991. The next prime is 261070993. The reversal of 261070992 is 299070162.

It is an interprime number because it is at equal distance from previous prime (261070991) and next prime (261070993).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261070991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1139934 + ... + 1140162.

It is an arithmetic number, because the mean of its divisors is an integer number (2994600).

Almost surely, 2^261070992 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 261070992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479136000).

261070992 is an abundant number, since it is smaller than the sum of its proper divisors (697201008).

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

261070992 is a wasteful number, since it uses less digits than its factorization.

261070992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 261070992 is about 16157.6914192591. The cubic root of 261070992 is about 639.1255897212.

The spelling of 261070992 in words is "two hundred sixty-one million, seventy thousand, nine hundred ninety-two".