67853120 has 56 divisors (see below), whose sum is σ = 171093384. Its totient is φ = 25542656.

The previous prime is 67853117. The next prime is 67853129. The reversal of 67853120 is 2135876.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 19855936 + 47997184 = 4456^2 + 6928^2 .

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67853129) 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, 797 + ... + 11676.

It is an arithmetic number, because the mean of its divisors is an integer number (3055239).

Almost surely, 2^67853120 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 67853120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85546692).

67853120 is an abundant number, since it is smaller than the sum of its proper divisors (103240264).

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

67853120 is a wasteful number, since it uses less digits than its factorization.

67853120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12507 (or 12497 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 67853120 is about 8237.3005286926. The cubic root of 67853120 is about 407.8714191771.

Adding to 67853120 its reverse (2135876), we get a palindrome (69988996).

The spelling of 67853120 in words is "sixty-seven million, eight hundred fifty-three thousand, one hundred twenty".