261607320 has 160 divisors (see below), whose sum is σ = 947081520. Its totient is φ = 64385280.

The previous prime is 261607319. The next prime is 261607327. The reversal of 261607320 is 23706162.

It is a happy number.

261607320 is a `hidden beast` number, since 26 + 1 + 607 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261607327) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 39015 + ... + 45225.

Almost surely, 2^261607320 is an apocalyptic number.

261607320 is a gapful number since it is divisible by the number (20) 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 261607320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473540760).

261607320 is an abundant number, since it is smaller than the sum of its proper divisors (685474200).

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

261607320 is a wasteful number, since it uses less digits than its factorization.

261607320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6247 (or 6234 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 261607320 is about 16174.2795821019. The cubic root of 261607320 is about 639.5629503089.

The spelling of 261607320 in words is "two hundred sixty-one million, six hundred seven thousand, three hundred twenty".