67849120 has 96 divisors (see below), whose sum is σ = 167943888. Its totient is φ = 25878528.

The previous prime is 67849099. The next prime is 67849123. The reversal of 67849120 is 2194876.

It can be written as a sum of positive squares in 8 ways, for example, as 39589264 + 28259856 = 6292^2 + 5316^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 67849120.

It is not an unprimeable number, because it can be changed into a prime (67849123) 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, 432082 + ... + 432238.

Almost surely, 2^67849120 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 67849120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83971944).

67849120 is an abundant number, since it is smaller than the sum of its proper divisors (100094768).

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

67849120 is a wasteful number, since it uses less digits than its factorization.

67849120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 67849120 is about 8237.0577271256. The cubic root of 67849120 is about 407.8634042289.

The spelling of 67849120 in words is "sixty-seven million, eight hundred forty-nine thousand, one hundred twenty".