67791104 has 72 divisors (see below), whose sum is σ = 147499128. Its totient is φ = 30965760.

The previous prime is 67791103. The next prime is 67791127. The reversal of 67791104 is 40119776.

It can be written as a sum of positive squares in 4 ways, for example, as 10758400 + 57032704 = 3280^2 + 7552^2 .

It is not an unprimeable number, because it can be changed into a prime (67791103) 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 7 ways as a sum of consecutive naturals, for example, 160814 + ... + 161234.

It is an arithmetic number, because the mean of its divisors is an integer number (2048599).

Almost surely, 2^67791104 is an apocalyptic number.

67791104 is a gapful number since it is divisible by the number (64) 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 67791104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73749564).

67791104 is an abundant number, since it is smaller than the sum of its proper divisors (79708024).

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

67791104 is a wasteful number, since it uses less digits than its factorization.

67791104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 35.

The square root of 67791104 is about 8233.5353281564. The cubic root of 67791104 is about 407.7471199848.

The spelling of 67791104 in words is "sixty-seven million, seven hundred ninety-one thousand, one hundred four".