67105948 has 96 divisors (see below), whose sum is σ = 157552640. Its totient is φ = 24261120.

The previous prime is 67105943. The next prime is 67105949. The reversal of 67105948 is 84950176.

It is a self number, because there is not a number n which added to its sum of digits gives 67105948.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67105943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 214240 + ... + 214552.

Almost surely, 2^67105948 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 67105948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78776320).

67105948 is an abundant number, since it is smaller than the sum of its proper divisors (90446692).

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

67105948 is a wasteful number, since it uses less digits than its factorization.

67105948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The square root of 67105948 is about 8191.8220195510. The cubic root of 67105948 is about 406.3687833169.

The spelling of 67105948 in words is "sixty-seven million, one hundred five thousand, nine hundred forty-eight".