193995648 has 320 divisors, whose sum is σ = 722747520. Its totient is φ = 50388480.

The previous prime is 193995631. The next prime is 193995667. The reversal of 193995648 is 846599391.

It is a super-2 number, since 2×193995648² = 75268622885879808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 193995594 and 193995603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17635963 + ... + 17635973.

It is an arithmetic number, because the mean of its divisors is an integer number (2258586).

Almost surely, 2^193995648 is an apocalyptic number.

193995648 is a gapful number since it is divisible by the number (18) 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 193995648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361373760).

193995648 is an abundant number, since it is smaller than the sum of its proper divisors (528751872).

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

193995648 is an frugal number, since it uses more digits than its factorization.

193995648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 23 counting only the distinct ones).

The product of its digits is 2099520, while the sum is 54.

The square root of 193995648 is about 13928.2320486126. The cubic root of 193995648 is about 578.8917083843.

The spelling of 193995648 in words is "one hundred ninety-three million, nine hundred ninety-five thousand, six hundred forty-eight".