195734880 has 240 divisors, whose sum is σ = 754128144. Its totient is φ = 47416320.

The previous prime is 195734843. The next prime is 195734881. The reversal of 195734880 is 88437591.

195734880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×195734880² = 76624286497228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (195734881) 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, 141874 + ... + 143246.

Almost surely, 2^195734880 is an apocalyptic number.

195734880 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 195734880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377064072).

195734880 is an abundant number, since it is smaller than the sum of its proper divisors (558393264).

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

195734880 is a wasteful number, since it uses less digits than its factorization.

195734880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1411 (or 1394 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 195734880 is about 13990.5282244810. The cubic root of 195734880 is about 580.6165461167.

The spelling of 195734880 in words is "one hundred ninety-five million, seven hundred thirty-four thousand, eight hundred eighty".