261594432 has 336 divisors, whose sum is σ = 898672320. Its totient is φ = 71884800.

The previous prime is 261594373. The next prime is 261594439. The reversal of 261594432 is 234495162.

It is a happy number.

261594432 is a `hidden beast` number, since 2 + 61 + 594 + 4 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261594439) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4935718 + ... + 4935770.

It is an arithmetic number, because the mean of its divisors is an integer number (2674620).

Almost surely, 2^261594432 is an apocalyptic number.

261594432 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 261594432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449336160).

261594432 is an abundant number, since it is smaller than the sum of its proper divisors (637077888).

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

261594432 is a wasteful number, since it uses less digits than its factorization.

261594432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 129 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 261594432 is about 16173.8811668690. The cubic root of 261594432 is about 639.5524475158.

The spelling of 261594432 in words is "two hundred sixty-one million, five hundred ninety-four thousand, four hundred thirty-two".