261614320 has 40 divisors (see below), whose sum is σ = 663551280. Its totient is φ = 95132160.

The previous prime is 261614303. The next prime is 261614321. The reversal of 261614320 is 23416162.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261614321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 147765 + ... + 149524.

It is an arithmetic number, because the mean of its divisors is an integer number (16588782).

Almost surely, 2^261614320 is an apocalyptic number.

261614320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261614320 is an abundant number, since it is smaller than the sum of its proper divisors (401936960).

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

261614320 is a wasteful number, since it uses less digits than its factorization.

261614320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297313 (or 297307 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 261614320 is about 16174.4959735999. The cubic root of 261614320 is about 639.5686546609.

The spelling of 261614320 in words is "two hundred sixty-one million, six hundred fourteen thousand, three hundred twenty".