196431600 has 120 divisors (see below), whose sum is σ = 666318960. Its totient is φ = 49295360.

The previous prime is 196431589. The next prime is 196431637. The reversal of 196431600 is 6134691.

It is a tau number, because it is divible by the number of its divisors (120).

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, 15586 + ... + 25214.

It is an arithmetic number, because the mean of its divisors is an integer number (5552658).

Almost surely, 2^196431600 is an apocalyptic number.

196431600 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 196431600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333159480).

196431600 is an abundant number, since it is smaller than the sum of its proper divisors (469887360).

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

196431600 is a wasteful number, since it uses less digits than its factorization.

196431600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9667 (or 9656 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 196431600 is about 14015.4058093228. The cubic root of 196431600 is about 581.3046335512.

The spelling of 196431600 in words is "one hundred ninety-six million, four hundred thirty-one thousand, six hundred".