193034016 has 120 divisors (see below), whose sum is σ = 648869760. Its totient is φ = 55147392.

The previous prime is 193033999. The next prime is 193034041. The reversal of 193034016 is 610430391.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12825 + ... + 23463.

It is an arithmetic number, because the mean of its divisors is an integer number (5407248).

Almost surely, 2^193034016 is an apocalyptic number.

193034016 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 193034016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324434880).

193034016 is an abundant number, since it is smaller than the sum of its proper divisors (455835744).

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

193034016 is a wasteful number, since it uses less digits than its factorization.

193034016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10668 (or 10651 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 193034016 is about 13893.6681981398. The cubic root of 193034016 is about 577.9336058761.

The spelling of 193034016 in words is "one hundred ninety-three million, thirty-four thousand, sixteen".