67109625 has 144 divisors (see below), whose sum is σ = 145650960. Its totient is φ = 29568000.

The previous prime is 67109593. The next prime is 67109629. The reversal of 67109625 is 52690176.

It can be written as a sum of positive squares in 8 ways, for example, as 12467961 + 54641664 = 3531^2 + 7392^2 .

It is not a de Polignac number, because 67109625 - 2⁵ = 67109593 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 67109625.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67109629) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2314111 + ... + 2314139.

It is an arithmetic number, because the mean of its divisors is an integer number (1011465).

Almost surely, 2^67109625 is an apocalyptic number.

It is an amenable number.

67109625 is an abundant number, since it is smaller than the sum of its proper divisors (78541335).

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

67109625 is a wasteful number, since it uses less digits than its factorization.

67109625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 67109625 is about 8192.0464476222. The cubic root of 67109625 is about 406.3762053650.

The spelling of 67109625 in words is "sixty-seven million, one hundred nine thousand, six hundred twenty-five".