193890816 has 120 divisors (see below), whose sum is σ = 639628704. Its totient is φ = 55388160.

The previous prime is 193890803. The next prime is 193890821. The reversal of 193890816 is 618098391.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29251 + ... + 35261.

Almost surely, 2^193890816 is an apocalyptic number.

193890816 is a gapful number since it is divisible by the number (16) 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 193890816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319814352).

193890816 is an abundant number, since it is smaller than the sum of its proper divisors (445737888).

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

193890816 is an equidigital number, since it uses as much as digits as its factorization.

193890816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6042 (or 6023 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 193890816 is about 13924.4682483749. The cubic root of 193890816 is about 578.7874151337.

The spelling of 193890816 in words is "one hundred ninety-three million, eight hundred ninety thousand, eight hundred sixteen".