67365540 has 144 divisors (see below), whose sum is σ = 230590080. Its totient is φ = 16315200.

The previous prime is 67365527. The next prime is 67365541. The reversal of 67365540 is 4556376.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 67365495 and 67365504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67365541) 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 47 ways as a sum of consecutive naturals, for example, 64825 + ... + 65855.

It is an arithmetic number, because the mean of its divisors is an integer number (1601320).

Almost surely, 2^67365540 is an apocalyptic number.

67365540 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 67365540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115295040).

67365540 is an abundant number, since it is smaller than the sum of its proper divisors (163224540).

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

67365540 is a wasteful number, since it uses less digits than its factorization.

67365540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 67365540 is about 8207.6513083829. The cubic root of 67365540 is about 406.8921067793.

The spelling of 67365540 in words is "sixty-seven million, three hundred sixty-five thousand, five hundred forty".