193420416 has 128 divisors (see below), whose sum is σ = 600053760. Its totient is φ = 54051840.

The previous prime is 193420351. The next prime is 193420417. The reversal of 193420416 is 614024391.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×193420416² = 74822914651226112, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (193420417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125571 + ... + 127101.

It is an arithmetic number, because the mean of its divisors is an integer number (4687920).

Almost surely, 2^193420416 is an apocalyptic number.

193420416 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 193420416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300026880).

193420416 is an abundant number, since it is smaller than the sum of its proper divisors (406633344).

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

193420416 is a wasteful number, since it uses less digits than its factorization.

193420416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1602 (or 1590 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 193420416 is about 13907.5668612450. The cubic root of 193420416 is about 578.3189692293.

The spelling of 193420416 in words is "one hundred ninety-three million, four hundred twenty thousand, four hundred sixteen".