67888000 has 64 divisors (see below), whose sum is σ = 168826320. Its totient is φ = 27148800.

The previous prime is 67887917. The next prime is 67888001. The reversal of 67888000 is 88876.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67888001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13879 + ... + 18121.

Almost surely, 2^67888000 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 67888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84413160).

67888000 is an abundant number, since it is smaller than the sum of its proper divisors (100938320).

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

67888000 is an equidigital number, since it uses as much as digits as its factorization.

67888000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4272 (or 4250 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 37.

The square root of 67888000 is about 8239.4174551360. The cubic root of 67888000 is about 407.9412961804.

The spelling of 67888000 in words is "sixty-seven million, eight hundred eighty-eight thousand".