196349040 has 240 divisors, whose sum is σ = 718049280. Its totient is φ = 47900160.

The previous prime is 196348993. The next prime is 196349063. The reversal of 196349040 is 40943691.

196349040 is a `hidden beast` number, since 19 + 634 + 9 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 196348986 and 196349004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 423849 + ... + 424311.

It is an arithmetic number, because the mean of its divisors is an integer number (2991872).

Almost surely, 2^196349040 is an apocalyptic number.

196349040 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 196349040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359024640).

196349040 is an abundant number, since it is smaller than the sum of its proper divisors (521700240).

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

196349040 is a wasteful number, since it uses less digits than its factorization.

196349040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 523 counting only the distinct ones).

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

The square root of 196349040 is about 14012.4601694349. The cubic root of 196349040 is about 581.2231815583.

The spelling of 196349040 in words is "one hundred ninety-six million, three hundred forty-nine thousand, forty".