193296640 has 36 divisors (see below), whose sum is σ = 463008924. Its totient is φ = 77318144.

The previous prime is 193296637. The next prime is 193296659. The reversal of 193296640 is 46692391.

It can be written as a sum of positive squares in 2 ways, for example, as 24920064 + 168376576 = 4992^2 + 12976^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 193296593 and 193296602.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 74227 + ... + 76786.

It is an arithmetic number, because the mean of its divisors is an integer number (12861359).

Almost surely, 2^193296640 is an apocalyptic number.

193296640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

193296640 is an abundant number, since it is smaller than the sum of its proper divisors (269712284).

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

193296640 is an equidigital number, since it uses as much as digits as its factorization.

193296640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151034 (or 151020 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 40.

The square root of 193296640 is about 13903.1161974573. The cubic root of 193296640 is about 578.1955812146.

The spelling of 193296640 in words is "one hundred ninety-three million, two hundred ninety-six thousand, six hundred forty".