193098816 has 105 divisors (see below), whose sum is σ = 575386581. Its totient is φ = 64032768.

The previous prime is 193098811. The next prime is 193098887. The reversal of 193098816 is 618890391.

The square root of 193098816 is 13896.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 46785600 + 146313216 = 6840^2 + 12096^2 .

It is not an unprimeable number, because it can be changed into a prime (193098811) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1000416 + ... + 1000608.

Almost surely, 2^193098816 is an apocalyptic number.

193098816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

193098816 is the 13896-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 193098816

193098816 is an abundant number, since it is smaller than the sum of its proper divisors (382287765).

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

193098816 is an frugal number, since it uses more digits than its factorization.

193098816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 198 counting only the distinct ones).

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

The cubic root of 193098816 is about 577.9982678955.

The spelling of 193098816 in words is "one hundred ninety-three million, ninety-eight thousand, eight hundred sixteen".