261246264 has 32 divisors (see below), whose sum is σ = 653533440. Its totient is φ = 87026400.

The previous prime is 261246263. The next prime is 261246281. The reversal of 261246264 is 462642162.

261246264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×261246264² = 136499220907915392, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261246263) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54609 + ... + 59199.

It is an arithmetic number, because the mean of its divisors is an integer number (20422920).

Almost surely, 2^261246264 is an apocalyptic number.

261246264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

261246264 is an abundant number, since it is smaller than the sum of its proper divisors (392287176).

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

261246264 is a wasteful number, since it uses less digits than its factorization.

261246264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6971 (or 6967 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 261246264 is about 16163.1143038710. The cubic root of 261246264 is about 639.2685850040.

The spelling of 261246264 in words is "two hundred sixty-one million, two hundred forty-six thousand, two hundred sixty-four".