195098400 has 432 divisors, whose sum is σ = 812448000. Its totient is φ = 44029440.

The previous prime is 195098381. The next prime is 195098419. The reversal of 195098400 is 4890591.

It is an interprime number because it is at equal distance from previous prime (195098381) and next prime (195098419).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2469561 + ... + 2469639.

Almost surely, 2^195098400 is an apocalyptic number.

195098400 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 195098400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406224000).

195098400 is an abundant number, since it is smaller than the sum of its proper divisors (617349600).

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

195098400 is a wasteful number, since it uses less digits than its factorization.

195098400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 195098400 is about 13967.7628845853. The cubic root of 195098400 is about 579.9865236663.

The spelling of 195098400 in words is "one hundred ninety-five million, ninety-eight thousand, four hundred".