67381632 has 160 divisors (see below), whose sum is σ = 205617720. Its totient is φ = 21897216.

The previous prime is 67381621. The next prime is 67381663. The reversal of 67381632 is 23618376.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 694608 + ... + 694704.

Almost surely, 2^67381632 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 67381632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102808860).

67381632 is an abundant number, since it is smaller than the sum of its proper divisors (138236088).

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

67381632 is an equidigital number, since it uses as much as digits as its factorization.

67381632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 169 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 67381632 is about 8208.6315546503. The cubic root of 67381632 is about 406.9245030979.

The spelling of 67381632 in words is "sixty-seven million, three hundred eighty-one thousand, six hundred thirty-two".