261123432 has 64 divisors (see below), whose sum is σ = 667992960. Its totient is φ = 85036800.

The previous prime is 261123427. The next prime is 261123463. The reversal of 261123432 is 234321162.

261123432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 252757 + ... + 253787.

It is an arithmetic number, because the mean of its divisors is an integer number (10437390).

Almost surely, 2^261123432 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 261123432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333996480).

261123432 is an abundant number, since it is smaller than the sum of its proper divisors (406869528).

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

261123432 is a wasteful number, since it uses less digits than its factorization.

261123432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1274 (or 1270 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 261123432 is about 16159.3140943544. The cubic root of 261123432 is about 639.1683794899.

Adding to 261123432 its reverse (234321162), we get a palindrome (495444594).

The spelling of 261123432 in words is "two hundred sixty-one million, one hundred twenty-three thousand, four hundred thirty-two".