261738264 has 64 divisors (see below), whose sum is σ = 664848000. Its totient is φ = 85858304.

The previous prime is 261738263. The next prime is 261738277. The reversal of 261738264 is 462837162.

It is a happy number.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261738263) 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, 582712 + ... + 583160.

It is an arithmetic number, because the mean of its divisors is an integer number (10388250).

Almost surely, 2^261738264 is an apocalyptic number.

261738264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

261738264 is an abundant number, since it is smaller than the sum of its proper divisors (403109736).

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

261738264 is a wasteful number, since it uses less digits than its factorization.

261738264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 788 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 261738264 is about 16178.3269839622. The cubic root of 261738264 is about 639.6696407003.

The spelling of 261738264 in words is "two hundred sixty-one million, seven hundred thirty-eight thousand, two hundred sixty-four".