193640656 has 60 divisors (see below), whose sum is σ = 426730500. Its totient is φ = 84958720.

The previous prime is 193640633. The next prime is 193640669. The reversal of 193640656 is 656046391.

193640656 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in 2 ways, for example, as 35283600 + 158357056 = 5940^2 + 12584^2 .

It is a super-2 number, since 2×193640656² = 74993407312220672, which contains 22 as substring.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 54420 + ... + 57868.

It is an arithmetic number, because the mean of its divisors is an integer number (7112175).

Almost surely, 2^193640656 is an apocalyptic number.

193640656 is a gapful number since it is divisible by the number (16) 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 193640656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213365250).

193640656 is an abundant number, since it is smaller than the sum of its proper divisors (233089844).

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

193640656 is a wasteful number, since it uses less digits than its factorization.

193640656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3508 (or 3491 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 40.

The square root of 193640656 is about 13915.4826003269. The cubic root of 193640656 is about 578.5383887709.

The spelling of 193640656 in words is "one hundred ninety-three million, six hundred forty thousand, six hundred fifty-six".