67138224 has 80 divisors (see below), whose sum is σ = 178679040. Its totient is φ = 21715200.

The previous prime is 67138213. The next prime is 67138249. The reversal of 67138224 is 42283176.

It is a super-2 number, since 2×67138224² = 9015082243748352, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 427554 + ... + 427710.

It is an arithmetic number, because the mean of its divisors is an integer number (2233488).

Almost surely, 2^67138224 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 67138224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89339520).

67138224 is an abundant number, since it is smaller than the sum of its proper divisors (111540816).

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

67138224 is a wasteful number, since it uses less digits than its factorization.

67138224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 372 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 67138224 is about 8193.7917962321. The cubic root of 67138224 is about 406.4339233778.

The spelling of 67138224 in words is "sixty-seven million, one hundred thirty-eight thousand, two hundred twenty-four".