196420800 has 168 divisors, whose sum is σ = 651085312. Its totient is φ = 51840000.

The previous prime is 196420769. The next prime is 196420823. The reversal of 196420800 is 8024691.

It is a super-2 number, since 2×196420800² = 77162261345280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 724665 + ... + 724935.

Almost surely, 2^196420800 is an apocalyptic number.

196420800 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 196420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325542656).

196420800 is an abundant number, since it is smaller than the sum of its proper divisors (454664512).

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

196420800 is a wasteful number, since it uses less digits than its factorization.

196420800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 196420800 is about 14015.0205137203. The cubic root of 196420800 is about 581.2939797917.

The spelling of 196420800 in words is "one hundred ninety-six million, four hundred twenty thousand, eight hundred".