195629040 has 240 divisors, whose sum is σ = 705267360. Its totient is φ = 49812480.

The previous prime is 195629039. The next prime is 195629117. The reversal of 195629040 is 40926591.

195629040 is a `hidden beast` number, since 1 + 9 + 562 + 90 + 4 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 195628986 and 195629004.

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, 4162297 + ... + 4162343.

It is an arithmetic number, because the mean of its divisors is an integer number (2938614).

Almost surely, 2^195629040 is an apocalyptic number.

195629040 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 195629040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352633680).

195629040 is an abundant number, since it is smaller than the sum of its proper divisors (509638320).

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

195629040 is a wasteful number, since it uses less digits than its factorization.

195629040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 195629040 is about 13986.7451538948. The cubic root of 195629040 is about 580.5118747112.

The spelling of 195629040 in words is "one hundred ninety-five million, six hundred twenty-nine thousand, forty".