196388640 has 144 divisors (see below), whose sum is σ = 765955008. Its totient is φ = 44886528.

The previous prime is 196388629. The next prime is 196388653. The reversal of 196388640 is 46883691.

196388640 is a `hidden beast` number, since 1 + 9 + 638 + 8 + 6 + 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 (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 339 + ... + 19821.

It is an arithmetic number, because the mean of its divisors is an integer number (5319132).

Almost surely, 2^196388640 is an apocalyptic number.

196388640 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 196388640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382977504).

196388640 is an abundant number, since it is smaller than the sum of its proper divisors (569566368).

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

196388640 is a wasteful number, since it uses less digits than its factorization.

196388640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19511 (or 19500 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 196388640 is about 14013.8731262988. The cubic root of 196388640 is about 581.2622529502.

The spelling of 196388640 in words is "one hundred ninety-six million, three hundred eighty-eight thousand, six hundred forty".