67374216 has 216 divisors, whose sum is σ = 231881130. Its totient is φ = 17611776.

The previous prime is 67374187. The next prime is 67374233. The reversal of 67374216 is 61247376.

It can be written as a sum of positive squares in 3 ways, for example, as 13351716 + 54022500 = 3654^2 + 7350^2 .

It is a super-2 number, since 2×67374216² = 9078569963229312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 596176 + ... + 596288.

Almost surely, 2^67374216 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 67374216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115940565).

67374216 is an abundant number, since it is smaller than the sum of its proper divisors (164506914).

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

67374216 is a wasteful number, since it uses less digits than its factorization.

67374216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 138 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 67374216 is about 8208.1798225916. The cubic root of 67374216 is about 406.9095738917.

The spelling of 67374216 in words is "sixty-seven million, three hundred seventy-four thousand, two hundred sixteen".