196877952 has 160 divisors (see below), whose sum is σ = 620926020. Its totient is φ = 61710336.

The previous prime is 196877929. The next prime is 196878041. The reversal of 196877952 is 259778691.

It can be written as a sum of positive squares in 2 ways, for example, as 193098816 + 3779136 = 13896^2 + 1944^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

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 19 ways as a sum of consecutive naturals, for example, 175698 + ... + 176814.

Almost surely, 2^196877952 is an apocalyptic number.

196877952 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 196877952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310463010).

196877952 is an abundant number, since it is smaller than the sum of its proper divisors (424048068).

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

196877952 is a wasteful number, since it uses less digits than its factorization.

196877952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160 (or 1139 counting only the distinct ones).

The product of its digits is 1905120, while the sum is 54.

The square root of 196877952 is about 14031.3203940328. The cubic root of 196877952 is about 581.7446004485.

The spelling of 196877952 in words is "one hundred ninety-six million, eight hundred seventy-seven thousand, nine hundred fifty-two".