261269736 has 256 divisors, whose sum is σ = 882524160. Its totient is φ = 62484480.

The previous prime is 261269731. The next prime is 261269761. The reversal of 261269736 is 637962162.

261269736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (261269731) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1150855 + ... + 1151081.

It is an arithmetic number, because the mean of its divisors is an integer number (3447360).

Almost surely, 2^261269736 is an apocalyptic number.

261269736 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 261269736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441262080).

261269736 is an abundant number, since it is smaller than the sum of its proper divisors (621254424).

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

261269736 is a wasteful number, since it uses less digits than its factorization.

261269736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 300 counting only the distinct ones).

The product of its digits is 163296, while the sum is 42.

The square root of 261269736 is about 16163.8403852550. The cubic root of 261269736 is about 639.2877297280.

The spelling of 261269736 in words is "two hundred sixty-one million, two hundred sixty-nine thousand, seven hundred thirty-six".