261614952 has 144 divisors (see below), whose sum is σ = 774540000. Its totient is φ = 79548480.

The previous prime is 261614929. The next prime is 261614957. The reversal of 261614952 is 259416162.

261614952 is a `hidden beast` number, since 2 + 6 + 161 + 495 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (261614957) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1314549 + ... + 1314747.

It is an arithmetic number, because the mean of its divisors is an integer number (5378750).

Almost surely, 2^261614952 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 261614952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387270000).

261614952 is an abundant number, since it is smaller than the sum of its proper divisors (512925048).

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

261614952 is a wasteful number, since it uses less digits than its factorization.

261614952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 254 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 261614952 is about 16174.5155105184. The cubic root of 261614952 is about 639.5691696774.

It can be divided in two parts, 26161 and 4952, that added together give a palindrome (31113).

The spelling of 261614952 in words is "two hundred sixty-one million, six hundred fourteen thousand, nine hundred fifty-two".