67361940 has 144 divisors (see below), whose sum is σ = 217945728. Its totient is φ = 16803072.

The previous prime is 67361933. The next prime is 67361947. The reversal of 67361940 is 4916376.

It is an interprime number because it is at equal distance from previous prime (67361933) and next prime (67361947).

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 = 67361895 and 67361904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67361947) 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, 219267 + ... + 219573.

It is an arithmetic number, because the mean of its divisors is an integer number (1513512).

Almost surely, 2^67361940 is an apocalyptic number.

67361940 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 67361940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108972864).

67361940 is an abundant number, since it is smaller than the sum of its proper divisors (150583788).

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

67361940 is a wasteful number, since it uses less digits than its factorization.

67361940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 67361940 is about 8207.4319978907. The cubic root of 67361940 is about 406.8848585746.

The spelling of 67361940 in words is "sixty-seven million, three hundred sixty-one thousand, nine hundred forty".