196831440 has 240 divisors, whose sum is σ = 754357968. Its totient is φ = 45563904.

The previous prime is 196831387. The next prime is 196831487. The reversal of 196831440 is 44138691.

It can be written as a sum of positive squares in 8 ways, for example, as 46656 + 196784784 = 216^2 + 14028^2 .

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 = 196831395 and 196831404.

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, 158502 + ... + 159738.

Almost surely, 2^196831440 is an apocalyptic number.

196831440 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 196831440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377178984).

196831440 is an abundant number, since it is smaller than the sum of its proper divisors (557526528).

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

196831440 is a wasteful number, since it uses less digits than its factorization.

196831440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 196831440 is about 14029.6628612380. The cubic root of 196831440 is about 581.6987848630.

The spelling of 196831440 in words is "one hundred ninety-six million, eight hundred thirty-one thousand, four hundred forty".