67876040 has 64 divisors (see below), whose sum is σ = 157638960. Its totient is φ = 26291200.

The previous prime is 67876027. The next prime is 67876043. The reversal of 67876040 is 4067876.

It can be written as a sum of positive squares in 8 ways, for example, as 38217124 + 29658916 = 6182^2 + 5446^2 .

It is a junction number, because it is equal to n+sod(n) for n = 67875985 and 67876003.

It is not an unprimeable number, because it can be changed into a prime (67876043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 213962 + ... + 214278.

Almost surely, 2^67876040 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 67876040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78819480).

67876040 is an abundant number, since it is smaller than the sum of its proper divisors (89762920).

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

67876040 is a wasteful number, since it uses less digits than its factorization.

67876040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 38.

The square root of 67876040 is about 8238.6916437017. The cubic root of 67876040 is about 407.9173387582.

The spelling of 67876040 in words is "sixty-seven million, eight hundred seventy-six thousand, forty".