67887360 has 216 divisors, whose sum is σ = 241061184. Its totient is φ = 17633280.

The previous prime is 67887359. The next prime is 67887367. The reversal of 67887360 is 6378876.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67887367) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 817879 + ... + 817961.

It is an arithmetic number, because the mean of its divisors is an integer number (1116024).

Almost surely, 2^67887360 is an apocalyptic number.

67887360 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 67887360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120530592).

67887360 is an abundant number, since it is smaller than the sum of its proper divisors (173173824).

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

67887360 is a wasteful number, since it uses less digits than its factorization.

67887360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 67887360 is about 8239.3786173473. The cubic root of 67887360 is about 407.9400142491.

The spelling of 67887360 in words is "sixty-seven million, eight hundred eighty-seven thousand, three hundred sixty".