67740288 has 256 divisors, whose sum is σ = 235008000. Its totient is φ = 16773120.

The previous prime is 67740271. The next prime is 67740289. The reversal of 67740288 is 88204776.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (67740289) by changing a digit.

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, 857433 + ... + 857511.

It is an arithmetic number, because the mean of its divisors is an integer number (918000).

Almost surely, 2^67740288 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 67740288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117504000).

67740288 is an abundant number, since it is smaller than the sum of its proper divisors (167267712).

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

67740288 is a wasteful number, since it uses less digits than its factorization.

67740288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The square root of 67740288 is about 8230.4488334477. The cubic root of 67740288 is about 407.6452125278.

The spelling of 67740288 in words is "sixty-seven million, seven hundred forty thousand, two hundred eighty-eight".