67686840 has 160 divisors (see below), whose sum is σ = 245155680. Its totient is φ = 16651008.

The previous prime is 67686833. The next prime is 67686851. The reversal of 67686840 is 4868676.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 41317 + ... + 42923.

It is an arithmetic number, because the mean of its divisors is an integer number (1532223).

Almost surely, 2^67686840 is an apocalyptic number.

67686840 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 67686840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122577840).

67686840 is an abundant number, since it is smaller than the sum of its proper divisors (177468840).

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

67686840 is a wasteful number, since it uses less digits than its factorization.

67686840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1643 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 67686840 is about 8227.2012252041. The cubic root of 67686840 is about 407.5379717963.

The spelling of 67686840 in words is "sixty-seven million, six hundred eighty-six thousand, eight hundred forty".