196288000 has 80 divisors (see below), whose sum is σ = 489615984. Its totient is φ = 78489600.

The previous prime is 196287953. The next prime is 196288013. The reversal of 196288000 is 882691.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62467 + ... + 65533.

Almost surely, 2^196288000 is an apocalyptic number.

196288000 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 196288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244807992).

196288000 is an abundant number, since it is smaller than the sum of its proper divisors (293327984).

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

196288000 is an frugal number, since it uses more digits than its factorization.

196288000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3100 (or 3074 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 34.

The square root of 196288000 is about 14010.2819386335. The cubic root of 196288000 is about 581.1629460715.

The spelling of 196288000 in words is "one hundred ninety-six million, two hundred eighty-eight thousand".