67881000 has 256 divisors, whose sum is σ = 246654720. Its totient is φ = 15488000.

The previous prime is 67880971. The next prime is 67881001. The reversal of 67881000 is 18876.

It is a super-2 number, since 2×67881000² = 9215660322000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67881001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3992992 + ... + 3993008.

It is an arithmetic number, because the mean of its divisors is an integer number (963495).

Almost surely, 2^67881000 is an apocalyptic number.

67881000 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 67881000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123327360).

67881000 is an abundant number, since it is smaller than the sum of its proper divisors (178773720).

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

67881000 is a wasteful number, since it uses less digits than its factorization.

67881000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 67881000 is about 8238.9926568726. The cubic root of 67881000 is about 407.9272746193.

Adding to 67881000 its reverse (18876), we get a palindrome (67899876).

The spelling of 67881000 in words is "sixty-seven million, eight hundred eighty-one thousand".