193998720 has 128 divisors (see below), whose sum is σ = 626688000. Its totient is φ = 51038208.

The previous prime is 193998697. The next prime is 193998743. The reversal of 193998720 is 27899391.

It is an interprime number because it is at equal distance from previous prime (193998697) and next prime (193998743).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 193998720.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 151041 + ... + 152319.

It is an arithmetic number, because the mean of its divisors is an integer number (4896000).

Almost surely, 2^193998720 is an apocalyptic number.

193998720 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 193998720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313344000).

193998720 is an abundant number, since it is smaller than the sum of its proper divisors (432689280).

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

193998720 is a wasteful number, since it uses less digits than its factorization.

193998720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 48.

The square root of 193998720 is about 13928.3423277862. The cubic root of 193998720 is about 578.8947640300.

The spelling of 193998720 in words is "one hundred ninety-three million, nine hundred ninety-eight thousand, seven hundred twenty".