53319168 has 320 divisors, whose sum is σ = 196416000. Its totient is φ = 13934592.

The previous prime is 53319151. The next prime is 53319169. The reversal of 53319168 is 86191335.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (19440) is a multiple of the sum of its prime divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53319169) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1838578 + ... + 1838606.

It is an arithmetic number, because the mean of its divisors is an integer number (613800).

Almost surely, 2^53319168 is an apocalyptic number.

53319168 is a gapful number since it is divisible by the number (58) 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 53319168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98208000).

53319168 is an abundant number, since it is smaller than the sum of its proper divisors (143096832).

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

53319168 is a wasteful number, since it uses less digits than its factorization.

53319168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 60 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 53319168 is about 7301.9975349215. The cubic root of 53319168 is about 376.3810833790.

Adding to 53319168 its sum of digits (36), we get a square (53319204 = 7302²).

It can be divided in two parts, 533 and 19168, that added together give a triangular number (19701 = T₁₉₈).

The spelling of 53319168 in words is "fifty-three million, three hundred nineteen thousand, one hundred sixty-eight".