67097120 has 48 divisors (see below), whose sum is σ = 159726168. Its totient is φ = 26634240.

The previous prime is 67097111. The next prime is 67097123. The reversal of 67097120 is 2179076.

It can be written as a sum of positive squares in 4 ways, for example, as 65869456 + 1227664 = 8116^2 + 1108^2 .

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

It is not an unprimeable number, because it can be changed into a prime (67097123) 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, 20390 + ... + 23450.

Almost surely, 2^67097120 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 67097120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79863084).

67097120 is an abundant number, since it is smaller than the sum of its proper divisors (92629048).

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

67097120 is a wasteful number, since it uses less digits than its factorization.

67097120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3213 (or 3205 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 32.

The square root of 67097120 is about 8191.2831717625. The cubic root of 67097120 is about 406.3509628352.

The spelling of 67097120 in words is "sixty-seven million, ninety-seven thousand, one hundred twenty".