67320414 has 72 divisors (see below), whose sum is σ = 171295488. Its totient is φ = 19051200.

The previous prime is 67320389. The next prime is 67320419. The reversal of 67320414 is 41402376.

It is a super-2 number, since 2×67320414² = 9064076282262792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67320419) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 111714 + ... + 112314.

It is an arithmetic number, because the mean of its divisors is an integer number (2379104).

Almost surely, 2^67320414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67320414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85647744).

67320414 is an abundant number, since it is smaller than the sum of its proper divisors (103975074).

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

67320414 is a wasteful number, since it uses less digits than its factorization.

67320414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 67320414 is about 8204.9018275663. The cubic root of 67320414 is about 406.8012318570.

The spelling of 67320414 in words is "sixty-seven million, three hundred twenty thousand, four hundred fourteen".