195742560 has 288 divisors, whose sum is σ = 708341760. Its totient is φ = 45287424.

The previous prime is 195742553. The next prime is 195742571. The reversal of 195742560 is 65247591.

195742560 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 (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1541217 + ... + 1541343.

It is an arithmetic number, because the mean of its divisors is an integer number (2459520).

Almost surely, 2^195742560 is an apocalyptic number.

195742560 is a gapful number since it is divisible by the number (10) 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 195742560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354170880).

195742560 is an abundant number, since it is smaller than the sum of its proper divisors (512599200).

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

195742560 is a wasteful number, since it uses less digits than its factorization.

195742560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 39.

The square root of 195742560 is about 13990.8026931981. The cubic root of 195742560 is about 580.6241398523.

The spelling of 195742560 in words is "one hundred ninety-five million, seven hundred forty-two thousand, five hundred sixty".