196093440 has 160 divisors (see below), whose sum is σ = 696785760. Its totient is φ = 52273152.

The previous prime is 196093439. The next prime is 196093477. The reversal of 196093440 is 44390691.

196093440 is a `hidden beast` number, since 1 + 9 + 609 + 3 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×196093440² = 76905274422067200, which contains 22 as substring.

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 = 196093395 and 196093404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67702 + ... + 70538.

It is an arithmetic number, because the mean of its divisors is an integer number (4354911).

Almost surely, 2^196093440 is an apocalyptic number.

196093440 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 196093440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348392880).

196093440 is an abundant number, since it is smaller than the sum of its proper divisors (500692320).

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

196093440 is an equidigital number, since it uses as much as digits as its factorization.

196093440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2869 (or 2847 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 196093440 is about 14003.3367452190. The cubic root of 196093440 is about 580.9708670143.

The spelling of 196093440 in words is "one hundred ninety-six million, ninety-three thousand, four hundred forty".