261226944 has 196 divisors, whose sum is σ = 849523320. Its totient is φ = 79004160.

The previous prime is 261226921. The next prime is 261226957. The reversal of 261226944 is 449622162.

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 junction number, because it is equal to n+sod(n) for n = 261226899 and 261226908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 512962 + ... + 513470.

Almost surely, 2^261226944 is an apocalyptic number.

261226944 is a gapful number since it is divisible by the number (24) 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 261226944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424761660).

261226944 is an abundant number, since it is smaller than the sum of its proper divisors (588296376).

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

261226944 is an equidigital number, since it uses as much as digits as its factorization.

261226944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 525 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 261226944 is about 16162.5166357223. The cubic root of 261226944 is about 639.2528259607.

The spelling of 261226944 in words is "two hundred sixty-one million, two hundred twenty-six thousand, nine hundred forty-four".