67840416 has 120 divisors (see below), whose sum is σ = 228080160. Its totient is φ = 19377792.

The previous prime is 67840397. The next prime is 67840417. The reversal of 67840416 is 61404876.

It is a super-3 number, since 3×67840416³ (a number of 24 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67840417) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16275 + ... + 20013.

It is an arithmetic number, because the mean of its divisors is an integer number (1900668).

Almost surely, 2^67840416 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 67840416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114040080).

67840416 is an abundant number, since it is smaller than the sum of its proper divisors (160239744).

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

67840416 is a wasteful number, since it uses less digits than its factorization.

67840416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3768 (or 3751 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 67840416 is about 8236.5293661833. The cubic root of 67840416 is about 407.8459626129.

The spelling of 67840416 in words is "sixty-seven million, eight hundred forty thousand, four hundred sixteen".