67398144 has 80 divisors (see below), whose sum is σ = 195924960. Its totient is φ = 20418560.

The previous prime is 67398143. The next prime is 67398151. The reversal of 67398144 is 44189376.

It is a junction number, because it is equal to n+sod(n) for n = 67398096 and 67398105.

It is not an unprimeable number, because it can be changed into a prime (67398143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14902 + ... + 18890.

It is an arithmetic number, because the mean of its divisors is an integer number (2449062).

Almost surely, 2^67398144 is an apocalyptic number.

67398144 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67398144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97962480).

67398144 is an abundant number, since it is smaller than the sum of its proper divisors (128526816).

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

67398144 is a wasteful number, since it uses less digits than its factorization.

67398144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4021 (or 4005 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 67398144 is about 8209.6372636067. The cubic root of 67398144 is about 406.9577395969.

The spelling of 67398144 in words is "sixty-seven million, three hundred ninety-eight thousand, one hundred forty-four".