196664400 has 90 divisors (see below), whose sum is σ = 682492590. Its totient is φ = 52442880.

The previous prime is 196664393. The next prime is 196664411. The reversal of 196664400 is 4466691.

196664400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 21790224 + 174874176 = 4668^2 + 13224^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 17 ways as a sum of consecutive naturals, for example, 23715 + ... + 30914.

It is an arithmetic number, because the mean of its divisors is an integer number (7583251).

Almost surely, 2^196664400 is an apocalyptic number.

196664400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

196664400 is an abundant number, since it is smaller than the sum of its proper divisors (485828190).

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

196664400 is a wasteful number, since it uses less digits than its factorization.

196664400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54653 (or 54639 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 196664400 is about 14023.7084966852. The cubic root of 196664400 is about 581.5341863877.

It can be divided in two parts, 1966 and 64400, that added together give a palindrome (66366).

The spelling of 196664400 in words is "one hundred ninety-six million, six hundred sixty-four thousand, four hundred".