261954132 has 48 divisors (see below), whose sum is σ = 673300992. Its totient is φ = 78605280.

The previous prime is 261954131. The next prime is 261954163. The reversal of 261954132 is 231459162.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 261954093 and 261954102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261954131) 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, 3963 + ... + 23229.

It is an arithmetic number, because the mean of its divisors is an integer number (14027104).

Almost surely, 2^261954132 is an apocalyptic number.

261954132 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 261954132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336650496).

261954132 is an abundant number, since it is smaller than the sum of its proper divisors (411346860).

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

261954132 is a wasteful number, since it uses less digits than its factorization.

261954132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19388 (or 19386 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 261954132 is about 16184.9971269692. The cubic root of 261954132 is about 639.8454477065.

The spelling of 261954132 in words is "two hundred sixty-one million, nine hundred fifty-four thousand, one hundred thirty-two".