196145600 has 168 divisors, whose sum is σ = 560880768. Its totient is φ = 66124800.

The previous prime is 196145591. The next prime is 196145603. The reversal of 196145600 is 6541691.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196145603) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 929495 + ... + 929705.

It is an arithmetic number, because the mean of its divisors is an integer number (3338576).

Almost surely, 2^196145600 is an apocalyptic number.

196145600 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 196145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280440384).

196145600 is an abundant number, since it is smaller than the sum of its proper divisors (364735168).

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

196145600 is a wasteful number, since it uses less digits than its factorization.

196145600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 196145600 is about 14005.1990346442. The cubic root of 196145600 is about 581.0223743535.

The spelling of 196145600 in words is "one hundred ninety-six million, one hundred forty-five thousand, six hundred".