67986961 has 18 divisors (see below), whose sum is σ = 84030198. Its totient is φ = 54835200.

The previous prime is 67986949. The next prime is 67986983. The reversal of 67986961 is 16968976.

It can be written as a sum of positive squares in 3 ways, for example, as 30041361 + 37945600 = 5481^2 + 6160^2 .

It is not a de Polignac number, because 67986961 - 2¹⁵ = 67954193 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 67986899 and 67986908.

It is not an unprimeable number, because it can be changed into a prime (67986931) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11761 + ... + 16561.

Almost surely, 2^67986961 is an apocalyptic number.

It is an amenable number.

67986961 is a deficient number, since it is larger than the sum of its proper divisors (16043237).

67986961 is a wasteful number, since it uses less digits than its factorization.

67986961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4849 (or 4825 counting only the distinct ones).

The product of its digits is 979776, while the sum is 52.

The square root of 67986961 is about 8245.4206078283. The cubic root of 67986961 is about 408.1394199452.

The spelling of 67986961 in words is "sixty-seven million, nine hundred eighty-six thousand, nine hundred sixty-one".