196580000 has 60 divisors (see below), whose sum is σ = 483665490. Its totient is φ = 78624000.

The previous prime is 196579987. The next prime is 196580039. The reversal of 196580000 is 85691.

196580000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 23078416 + 173501584 = 4804^2 + 13172^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 15086 + ... + 24914.

Almost surely, 2^196580000 is an apocalyptic number.

196580000 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 196580000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241832745).

196580000 is an abundant number, since it is smaller than the sum of its proper divisors (287085490).

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

196580000 is an frugal number, since it uses more digits than its factorization.

196580000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9859 (or 9836 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 29.

The square root of 196580000 is about 14020.6989840022. The cubic root of 196580000 is about 581.4509845673.

The spelling of 196580000 in words is "one hundred ninety-six million, five hundred eighty thousand".