67632096 has 96 divisors (see below), whose sum is σ = 213615360. Its totient is φ = 18302976.

The previous prime is 67632073. The next prime is 67632119. The reversal of 67632096 is 69023676.

It is an interprime number because it is at equal distance from previous prime (67632073) and next prime (67632119).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 10120 + ... + 15416.

It is an arithmetic number, because the mean of its divisors is an integer number (2225160).

Almost surely, 2^67632096 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 67632096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106807680).

67632096 is an abundant number, since it is smaller than the sum of its proper divisors (145983264).

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

67632096 is a wasteful number, since it uses less digits than its factorization.

67632096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5336 (or 5328 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 39.

The square root of 67632096 is about 8223.8735398837. The cubic root of 67632096 is about 407.4280721656.

The spelling of 67632096 in words is "sixty-seven million, six hundred thirty-two thousand, ninety-six".