67874688 has 192 divisors, whose sum is σ = 235497600. Its totient is φ = 18330624.

The previous prime is 67874671. The next prime is 67874689. The reversal of 67874688 is 88647876.

It is a tau number, because it is divible by the number of its divisors (192).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67874689) 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 23 ways as a sum of consecutive naturals, for example, 152995 + ... + 153437.

It is an arithmetic number, because the mean of its divisors is an integer number (1226550).

Almost surely, 2^67874688 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 67874688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117748800).

67874688 is an abundant number, since it is smaller than the sum of its proper divisors (167622912).

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

67874688 is a wasteful number, since it uses less digits than its factorization.

67874688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 474 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 54.

The square root of 67874688 is about 8238.6095914299. The cubic root of 67874688 is about 407.9146303508.

The spelling of 67874688 in words is "sixty-seven million, eight hundred seventy-four thousand, six hundred eighty-eight".