261942912 has 192 divisors, whose sum is σ = 940080960. Its totient is φ = 68014080.

The previous prime is 261942899. The next prime is 261942913. The reversal of 261942912 is 219249162.

261942912 is a `hidden beast` number, since 2 + 619 + 4 + 29 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×261942912² = 137228178294079488, which contains 22 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 not an unprimeable number, because it can be changed into a prime (261942913) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87228 + ... + 90180.

It is an arithmetic number, because the mean of its divisors is an integer number (4896255).

Almost surely, 2^261942912 is an apocalyptic number.

261942912 is a gapful number since it is divisible by the number (22) 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 261942912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470040480).

261942912 is an abundant number, since it is smaller than the sum of its proper divisors (678138048).

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

261942912 is a wasteful number, since it uses less digits than its factorization.

261942912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2991 (or 2976 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 261942912 is about 16184.6505059578. The cubic root of 261942912 is about 639.8363123051.

The spelling of 261942912 in words is "two hundred sixty-one million, nine hundred forty-two thousand, nine hundred twelve".