261412032 has 224 divisors, whose sum is σ = 863193600. Its totient is φ = 68124672.

The previous prime is 261412031. The next prime is 261412033. The reversal of 261412032 is 230214162.

It is an interprime number because it is at equal distance from previous prime (261412031) and next prime (261412033).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (261412031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 740368 + ... + 740720.

Almost surely, 2^261412032 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 261412032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431596800).

261412032 is an abundant number, since it is smaller than the sum of its proper divisors (601781568).

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

261412032 is a wasteful number, since it uses less digits than its factorization.

261412032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 261412032 is about 16168.2414628184. The cubic root of 261412032 is about 639.4037676313.

Adding to 261412032 its reverse (230214162), we get a palindrome (491626194).

The spelling of 261412032 in words is "two hundred sixty-one million, four hundred twelve thousand, thirty-two".