53820192 has 48 divisors (see below), whose sum is σ = 142000992. Its totient is φ = 17848320.

The previous prime is 53820191. The next prime is 53820209. The reversal of 53820192 is 29102835.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×53820192² = 5793226133833728, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (53820191) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18928 + ... + 21584.

It is an arithmetic number, because the mean of its divisors is an integer number (2958354).

Almost surely, 2^53820192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53820192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71000496).

53820192 is an abundant number, since it is smaller than the sum of its proper divisors (88180800).

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

53820192 is a wasteful number, since it uses less digits than its factorization.

53820192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2881 (or 2873 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 53820192 is about 7336.2246421439. The cubic root of 53820192 is about 377.5563227513.

The spelling of 53820192 in words is "fifty-three million, eight hundred twenty thousand, one hundred ninety-two".