67821940 has 48 divisors (see below), whose sum is σ = 151828992. Its totient is φ = 25389056.

The previous prime is 67821911. The next prime is 67821961. The reversal of 67821940 is 4912876.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 67821940.

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 15 ways as a sum of consecutive naturals, for example, 20052 + ... + 23188.

It is an arithmetic number, because the mean of its divisors is an integer number (3163104).

Almost surely, 2^67821940 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 67821940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75914496).

67821940 is an abundant number, since it is smaller than the sum of its proper divisors (84007052).

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

67821940 is a wasteful number, since it uses less digits than its factorization.

67821940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3216 (or 3214 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 67821940 is about 8235.4077008974. The cubic root of 67821940 is about 407.8089343111.

The spelling of 67821940 in words is "sixty-seven million, eight hundred twenty-one thousand, nine hundred forty".