261703936 has 108 divisors (see below), whose sum is σ = 592498368. Its totient is φ = 115095552.

The previous prime is 261703931. The next prime is 261703951. The reversal of 261703936 is 639307162.

It is a junction number, because it is equal to n+sod(n) for n = 261703895 and 261703904.

It is not an unprimeable number, because it can be changed into a prime (261703931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 994941 + ... + 995203.

It is an arithmetic number, because the mean of its divisors is an integer number (5486096).

Almost surely, 2^261703936 is an apocalyptic number.

261703936 is a gapful number since it is divisible by the number (26) 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 261703936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296249184).

261703936 is an abundant number, since it is smaller than the sum of its proper divisors (330794432).

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

261703936 is a wasteful number, since it uses less digits than its factorization.

261703936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 37.

The square root of 261703936 is about 16177.2660236518. The cubic root of 261703936 is about 639.6416744168.

It can be divided in two parts, 26 and 1703936, that multiplied together give a square (44302336 = 6656²).

The spelling of 261703936 in words is "two hundred sixty-one million, seven hundred three thousand, nine hundred thirty-six".