261936752 has 80 divisors (see below), whose sum is σ = 645792000. Its totient is φ = 102029760.

The previous prime is 261936751. The next prime is 261936761. The reversal of 261936752 is 257639162.

It is a super-2 number, since 2×261936752² = 137221724096619008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261936751) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58199 + ... + 62537.

It is an arithmetic number, because the mean of its divisors is an integer number (8072400).

Almost surely, 2^261936752 is an apocalyptic number.

261936752 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 261936752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322896000).

261936752 is an abundant number, since it is smaller than the sum of its proper divisors (383855248).

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

261936752 is a wasteful number, since it uses less digits than its factorization.

261936752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4379 (or 4359 counting only the distinct ones).

The product of its digits is 136080, while the sum is 41.

The square root of 261936752 is about 16184.4602010694. The cubic root of 261936752 is about 639.8312966797.

The spelling of 261936752 in words is "two hundred sixty-one million, nine hundred thirty-six thousand, seven hundred fifty-two".