195824640 has 352 divisors, whose sum is σ = 731024640. Its totient is φ = 44236800.

The previous prime is 195824633. The next prime is 195824663. The reversal of 195824640 is 46428591.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-2 number, since 2×195824640² = 76694579262259200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3210210 + ... + 3210270.

Almost surely, 2^195824640 is an apocalyptic number.

195824640 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 195824640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365512320).

195824640 is an abundant number, since it is smaller than the sum of its proper divisors (535200000).

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

195824640 is a wasteful number, since it uses less digits than its factorization.

195824640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 195824640 is about 13993.7357413951. The cubic root of 195824640 is about 580.7052854985.

The spelling of 195824640 in words is "one hundred ninety-five million, eight hundred twenty-four thousand, six hundred forty".