261210672 has 120 divisors (see below), whose sum is σ = 756389088. Its totient is φ = 84096000.

The previous prime is 261210671. The next prime is 261210673. The reversal of 261210672 is 276012162.

It is an interprime number because it is at equal distance from previous prime (261210671) and next prime (261210673).

It is not an unprimeable number, because it can be changed into a prime (261210671) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 891358 + ... + 891650.

Almost surely, 2^261210672 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 261210672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378194544).

261210672 is an abundant number, since it is smaller than the sum of its proper divisors (495178416).

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

261210672 is a wasteful number, since it uses less digits than its factorization.

261210672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 261210672 is about 16162.0132409301. The cubic root of 261210672 is about 639.2395525240.

The spelling of 261210672 in words is "two hundred sixty-one million, two hundred ten thousand, six hundred seventy-two".