67087488 has 128 divisors (see below), whose sum is σ = 195350400. Its totient is φ = 20275200.

The previous prime is 67087487. The next prime is 67087519. The reversal of 67087488 is 88478076.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (67087483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 444213 + ... + 444363.

It is an arithmetic number, because the mean of its divisors is an integer number (1526175).

Almost surely, 2^67087488 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 67087488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97675200).

67087488 is an abundant number, since it is smaller than the sum of its proper divisors (128262912).

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

67087488 is a wasteful number, since it uses less digits than its factorization.

67087488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 48.

The square root of 67087488 is about 8190.6952085888. The cubic root of 67087488 is about 406.3315175904.

It can be divided in two parts, 6708 and 7488, that added together give a triangular number (14196 = T₁₆₈).

The spelling of 67087488 in words is "sixty-seven million, eighty-seven thousand, four hundred eighty-eight".