193939296 has 96 divisors (see below), whose sum is σ = 530385408. Its totient is φ = 62000640.

The previous prime is 193939283. The next prime is 193939321. The reversal of 193939296 is 692939391.

It is a happy number.

193939296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×193939296² = 75224901065951232, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 238731 + ... + 239541.

It is an arithmetic number, because the mean of its divisors is an integer number (5524848).

Almost surely, 2^193939296 is an apocalyptic number.

193939296 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 193939296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265192704).

193939296 is an abundant number, since it is smaller than the sum of its proper divisors (336446112).

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

193939296 is a wasteful number, since it uses less digits than its factorization.

193939296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924 (or 916 counting only the distinct ones).

The product of its digits is 708588, while the sum is 51.

The square root of 193939296 is about 13926.2089600867. The cubic root of 193939296 is about 578.8356506581.

The spelling of 193939296 in words is "one hundred ninety-three million, nine hundred thirty-nine thousand, two hundred ninety-six".