67125384 has 96 divisors (see below), whose sum is σ = 194215320. Its totient is φ = 20871168.

The previous prime is 67125379. The next prime is 67125391. The reversal of 67125384 is 48352176.

It can be written as a sum of positive squares in 4 ways, for example, as 62062884 + 5062500 = 7878^2 + 2250^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 211594 + ... + 211910.

Almost surely, 2^67125384 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 67125384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97107660).

67125384 is an abundant number, since it is smaller than the sum of its proper divisors (127089936).

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

67125384 is a wasteful number, since it uses less digits than its factorization.

67125384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 512 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 67125384 is about 8193.0082387362. The cubic root of 67125384 is about 406.4080119372.

The spelling of 67125384 in words is "sixty-seven million, one hundred twenty-five thousand, three hundred eighty-four".