196431840 has 144 divisors (see below), whose sum is σ = 731321136. Its totient is φ = 47616000.

The previous prime is 196431797. The next prime is 196431857. The reversal of 196431840 is 48134691.

196431840 is a `hidden beast` number, since 1 + 9 + 643 + 1 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 196431795 and 196431804.

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, 9640 + ... + 22040.

It is an arithmetic number, because the mean of its divisors is an integer number (5078619).

Almost surely, 2^196431840 is an apocalyptic number.

196431840 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 196431840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365660568).

196431840 is an abundant number, since it is smaller than the sum of its proper divisors (534889296).

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

196431840 is a wasteful number, since it uses less digits than its factorization.

196431840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12433 (or 12422 counting only the distinct ones).

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

The square root of 196431840 is about 14015.4143713270. The cubic root of 196431840 is about 581.3048702970.

The spelling of 196431840 in words is "one hundred ninety-six million, four hundred thirty-one thousand, eight hundred forty".