193631340 has 144 divisors (see below), whose sum is σ = 640749312. Its totient is φ = 43553664.

The previous prime is 193631327. The next prime is 193631351. The reversal of 193631340 is 43136391.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 193631298 and 193631307.

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 47 ways as a sum of consecutive naturals, for example, 196489 + ... + 197471.

It is an arithmetic number, because the mean of its divisors is an integer number (4449648).

Almost surely, 2^193631340 is an apocalyptic number.

193631340 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 193631340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320374656).

193631340 is an abundant number, since it is smaller than the sum of its proper divisors (447117972).

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

193631340 is a wasteful number, since it uses less digits than its factorization.

193631340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 193631340 is about 13915.1478612338. The cubic root of 193631340 is about 578.5291108466.

The spelling of 193631340 in words is "one hundred ninety-three million, six hundred thirty-one thousand, three hundred forty".