67416636 has 96 divisors (see below), whose sum is σ = 193052160. Its totient is φ = 17881344.

The previous prime is 67416607. The next prime is 67416653. The reversal of 67416636 is 63661476.

67416636 = 168² + 169² + ... + 591².

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 67416594 and 67416603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84190 + ... + 84986.

It is an arithmetic number, because the mean of its divisors is an integer number (2010960).

Almost surely, 2^67416636 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 67416636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96526080).

67416636 is an abundant number, since it is smaller than the sum of its proper divisors (125635524).

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

67416636 is a wasteful number, since it uses less digits than its factorization.

67416636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883 (or 881 counting only the distinct ones).

The product of its digits is 108864, while the sum is 39.

The square root of 67416636 is about 8210.7634237018. The cubic root of 67416636 is about 406.9949551339.

The spelling of 67416636 in words is "sixty-seven million, four hundred sixteen thousand, six hundred thirty-six".