193399920 has 160 divisors (see below), whose sum is σ = 761379840. Its totient is φ = 44202240.

The previous prime is 193399909. The next prime is 193399933. The reversal of 193399920 is 29993391.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8725 + ... + 21515.

It is an arithmetic number, because the mean of its divisors is an integer number (4758624).

Almost surely, 2^193399920 is an apocalyptic number.

193399920 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 193399920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380689920).

193399920 is an abundant number, since it is smaller than the sum of its proper divisors (567979920).

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

193399920 is a wasteful number, since it uses less digits than its factorization.

193399920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12820 (or 12808 counting only the distinct ones).

The product of its (nonzero) digits is 118098, while the sum is 45.

The square root of 193399920 is about 13906.8299766697. The cubic root of 193399920 is about 578.2985411129.

The spelling of 193399920 in words is "one hundred ninety-three million, three hundred ninety-nine thousand, nine hundred twenty".