67019040 has 144 divisors (see below), whose sum is σ = 249552576. Its totient is φ = 16243200.

The previous prime is 67019027. The next prime is 67019041. The reversal of 67019040 is 4091076.

67019040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 67018995 and 67019013.

It is not an unprimeable number, because it can be changed into a prime (67019041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13725 + ... + 17955.

It is an arithmetic number, because the mean of its divisors is an integer number (1733004).

Almost surely, 2^67019040 is an apocalyptic number.

67019040 is a gapful number since it is divisible by the number (60) 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 67019040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124776288).

67019040 is an abundant number, since it is smaller than the sum of its proper divisors (182533536).

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

67019040 is a wasteful number, since it uses less digits than its factorization.

67019040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4263 (or 4252 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 67019040 is about 8186.5157423656. The cubic root of 67019040 is about 406.1932799707.

The spelling of 67019040 in words is "sixty-seven million, nineteen thousand, forty".