67488000 has 288 divisors, whose sum is σ = 242336640. Its totient is φ = 16588800.

The previous prime is 67487983. The next prime is 67488073. The reversal of 67488000 is 88476.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1823982 + ... + 1824018.

Almost surely, 2^67488000 is an apocalyptic number.

67488000 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 67488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121168320).

67488000 is an abundant number, since it is smaller than the sum of its proper divisors (174848640).

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

67488000 is a wasteful number, since it uses less digits than its factorization.

67488000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 67488000 is about 8215.1080333736. The cubic root of 67488000 is about 407.1385129027.

The spelling of 67488000 in words is "sixty-seven million, four hundred eighty-eight thousand".