261693120 has 168 divisors, whose sum is σ = 900263376. Its totient is φ = 64376832.

The previous prime is 261693083. The next prime is 261693161. The reversal of 261693120 is 21396162.

261693120 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 (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 161434 + ... + 163046.

Almost surely, 2^261693120 is an apocalyptic number.

261693120 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 261693120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450131688).

261693120 is an abundant number, since it is smaller than the sum of its proper divisors (638570256).

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

261693120 is a wasteful number, since it uses less digits than its factorization.

261693120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1659 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 261693120 is about 16176.9317239086. The cubic root of 261693120 is about 639.6328623475.

The spelling of 261693120 in words is "two hundred sixty-one million, six hundred ninety-three thousand, one hundred twenty".