261600192 has 252 divisors, whose sum is σ = 899861040. Its totient is φ = 73903104.

The previous prime is 261600179. The next prime is 261600197. The reversal of 261600192 is 291006162.

It is a tau number, because it is divible by the number of its divisors (252).

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 (261600197) 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, 2939284 + ... + 2939372.

Almost surely, 2^261600192 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 261600192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449930520).

261600192 is an abundant number, since it is smaller than the sum of its proper divisors (638260848).

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

261600192 is an frugal number, since it uses more digits than its factorization.

261600192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 261600192 is about 16174.0592307559. The cubic root of 261600192 is about 639.5571415442.

The spelling of 261600192 in words is "two hundred sixty-one million, six hundred thousand, one hundred ninety-two".