67385952 has 96 divisors (see below), whose sum is σ = 205148160. Its totient is φ = 21479040.

The previous prime is 67385947. The next prime is 67385959. The reversal of 67385952 is 25958376.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 67385898 and 67385907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67385959) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18177 + ... + 21567.

It is an arithmetic number, because the mean of its divisors is an integer number (2136960).

Almost surely, 2^67385952 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 67385952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102574080).

67385952 is an abundant number, since it is smaller than the sum of its proper divisors (137762208).

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

67385952 is a wasteful number, since it uses less digits than its factorization.

67385952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3433 (or 3419 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 67385952 is about 8208.8946880807. The cubic root of 67385952 is about 406.9331992180.

The spelling of 67385952 in words is "sixty-seven million, three hundred eighty-five thousand, nine hundred fifty-two".