67942944 has 72 divisors (see below), whose sum is σ = 194152140. Its totient is φ = 22537728.

The previous prime is 67942937. The next prime is 67942949. The reversal of 67942944 is 44924976.

It can be written as a sum of positive squares in 2 ways, for example, as 67568400 + 374544 = 8220^2 + 612^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 67942944.

It is not an unprimeable number, because it can be changed into a prime (67942949) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77034 + ... + 77910.

Almost surely, 2^67942944 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 67942944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97076070).

67942944 is an abundant number, since it is smaller than the sum of its proper divisors (126209196).

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

67942944 is a wasteful number, since it uses less digits than its factorization.

67942944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162 (or 1151 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 67942944 is about 8242.7509970883. The cubic root of 67942944 is about 408.0513199574.

It can be divided in two parts, 67942 and 944, that added together give a palindrome (68886).

The spelling of 67942944 in words is "sixty-seven million, nine hundred forty-two thousand, nine hundred forty-four".