196862400 has 630 divisors, whose sum is σ = 868911648. Its totient is φ = 43545600.

The previous prime is 196862387. The next prime is 196862417. The reversal of 196862400 is 4268691.

196862400 is a `hidden beast` number, since 196 + 8 + 62 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (630).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 6350385 + ... + 6350415.

Almost surely, 2^196862400 is an apocalyptic number.

196862400 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 196862400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434455824).

196862400 is an abundant number, since it is smaller than the sum of its proper divisors (672049248).

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

196862400 is a wasteful number, since it uses less digits than its factorization.

196862400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 196862400 is about 14030.7661943317. The cubic root of 196862400 is about 581.7292821084.

The spelling of 196862400 in words is "one hundred ninety-six million, eight hundred sixty-two thousand, four hundred".