196561872 has 180 divisors, whose sum is σ = 613296684. Its totient is φ = 58705920.

The previous prime is 196561823. The next prime is 196561891. The reversal of 196561872 is 278165691.

196561872 is a `hidden beast` number, since 1 + 9 + 6 + 561 + 87 + 2 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 23270976 + 173290896 = 4824^2 + 13164^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 997678 + ... + 997874.

Almost surely, 2^196561872 is an apocalyptic number.

196561872 is a gapful number since it is divisible by the number (12) 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 196561872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306648342).

196561872 is an abundant number, since it is smaller than the sum of its proper divisors (416734812).

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

196561872 is a wasteful number, since it uses less digits than its factorization.

196561872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 256 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 196561872 is about 14020.0524963354. The cubic root of 196561872 is about 581.4331108137.

It can be divided in two parts, 19656 and 1872, that added together give a triangular number (21528 = T₂₀₇).

The spelling of 196561872 in words is "one hundred ninety-six million, five hundred sixty-one thousand, eight hundred seventy-two".