67566642 has 48 divisors (see below), whose sum is σ = 159983040. Its totient is φ = 18897120.

The previous prime is 67566581. The next prime is 67566643. The reversal of 67566642 is 24666576.

It is a super-2 number, since 2×67566642² = 9130502222312328, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 67566594 and 67566603.

It is not an unprimeable number, because it can be changed into a prime (67566643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5859 + ... + 13017.

It is an arithmetic number, because the mean of its divisors is an integer number (3332980).

Almost surely, 2^67566642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67566642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79991520).

67566642 is an abundant number, since it is smaller than the sum of its proper divisors (92416398).

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

67566642 is a wasteful number, since it uses less digits than its factorization.

67566642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7199 (or 7188 counting only the distinct ones).

The product of its digits is 362880, while the sum is 42.

The square root of 67566642 is about 8219.8930649979. The cubic root of 67566642 is about 407.2965941335.

The spelling of 67566642 in words is "sixty-seven million, five hundred sixty-six thousand, six hundred forty-two".