261213936 has 80 divisors (see below), whose sum is σ = 699955200. Its totient is φ = 83854080.

The previous prime is 261213913. The next prime is 261213941. The reversal of 261213936 is 639312162.

It is a super-2 number, since 2×261213936² = 136465440721224192, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 261213897 and 261213906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 519061 + ... + 519563.

It is an arithmetic number, because the mean of its divisors is an integer number (8749440).

Almost surely, 2^261213936 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 261213936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349977600).

261213936 is an abundant number, since it is smaller than the sum of its proper divisors (438741264).

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

261213936 is a wasteful number, since it uses less digits than its factorization.

261213936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 888 counting only the distinct ones).

The product of its digits is 11664, while the sum is 33.

The square root of 261213936 is about 16162.1142181337. The cubic root of 261213936 is about 639.2422150865.

The spelling of 261213936 in words is "two hundred sixty-one million, two hundred thirteen thousand, nine hundred thirty-six".