196525440 has 320 divisors, whose sum is σ = 746444160. Its totient is φ = 49102848.

The previous prime is 196525429. The next prime is 196525447. The reversal of 196525440 is 44525691.

196525440 is a `hidden beast` number, since 1 + 96 + 525 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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 = 196525395 and 196525404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196525447) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 881169 + ... + 881391.

It is an arithmetic number, because the mean of its divisors is an integer number (2332638).

Almost surely, 2^196525440 is an apocalyptic number.

196525440 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 196525440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373222080).

196525440 is an abundant number, since it is smaller than the sum of its proper divisors (549918720).

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

196525440 is a wasteful number, since it uses less digits than its factorization.

196525440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 196525440 is about 14018.7531542573. The cubic root of 196525440 is about 581.3971864510.

The spelling of 196525440 in words is "one hundred ninety-six million, five hundred twenty-five thousand, four hundred forty".