67838496 has 96 divisors (see below), whose sum is σ = 195810048. Its totient is φ = 20394240.

The previous prime is 67838489. The next prime is 67838497. The reversal of 67838496 is 69483876.

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

It is not an unprimeable number, because it can be changed into a prime (67838497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 239571 + ... + 239853.

It is an arithmetic number, because the mean of its divisors is an integer number (2039688).

Almost surely, 2^67838496 is an apocalyptic number.

67838496 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67838496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97905024).

67838496 is an abundant number, since it is smaller than the sum of its proper divisors (127971552).

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

67838496 is a wasteful number, since it uses less digits than its factorization.

67838496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 526 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 51.

The square root of 67838496 is about 8236.4128114125. The cubic root of 67838496 is about 407.8421149968.

The spelling of 67838496 in words is "sixty-seven million, eight hundred thirty-eight thousand, four hundred ninety-six".