261599712 has 96 divisors (see below), whose sum is σ = 753629184. Its totient is φ = 78796800.

The previous prime is 261599711. The next prime is 261599743. The reversal of 261599712 is 217995162.

It is a tau number, because it is divible by the number of its divisors (96).

Its product of digits (68040) is a multiple of the sum of its prime factors (1512).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261599711) 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, 201048 + ... + 202344.

It is an arithmetic number, because the mean of its divisors is an integer number (7850304).

Almost surely, 2^261599712 is an apocalyptic number.

261599712 is a gapful number since it is divisible by the number (22) 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 261599712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376814592).

261599712 is an abundant number, since it is smaller than the sum of its proper divisors (492029472).

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

261599712 is a wasteful number, since it uses less digits than its factorization.

261599712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1512 (or 1504 counting only the distinct ones).

The product of its digits is 68040, while the sum is 42.

The square root of 261599712 is about 16174.0443921735. The cubic root of 261599712 is about 639.5567503778.

The spelling of 261599712 in words is "two hundred sixty-one million, five hundred ninety-nine thousand, seven hundred twelve".