67865940 has 72 divisors (see below), whose sum is σ = 207953928. Its totient is φ = 17913600.

The previous prime is 67865933. The next prime is 67865951. The reversal of 67865940 is 4956876.

It can be written as a sum of positive squares in 4 ways, for example, as 24147396 + 43718544 = 4914^2 + 6612^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 16314 + ... + 20046.

It is an arithmetic number, because the mean of its divisors is an integer number (2888249).

Almost surely, 2^67865940 is an apocalyptic number.

67865940 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 67865940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103976964).

67865940 is an abundant number, since it is smaller than the sum of its proper divisors (140087988).

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

67865940 is a wasteful number, since it uses less digits than its factorization.

67865940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3849 (or 3844 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 67865940 is about 8238.0786594934. The cubic root of 67865940 is about 407.8971049639.

The spelling of 67865940 in words is "sixty-seven million, eight hundred sixty-five thousand, nine hundred forty".