67872840 has 256 divisors, whose sum is σ = 254016000. Its totient is φ = 14450688.

The previous prime is 67872799. The next prime is 67872869. The reversal of 67872840 is 4827876.

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

It is a junction number, because it is equal to n+sod(n) for n = 67872792 and 67872801.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 699672 + ... + 699768.

It is an arithmetic number, because the mean of its divisors is an integer number (992250).

Almost surely, 2^67872840 is an apocalyptic number.

67872840 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 67872840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127008000).

67872840 is an abundant number, since it is smaller than the sum of its proper divisors (186143160).

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

67872840 is a wasteful number, since it uses less digits than its factorization.

67872840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 131 counting only the distinct ones).

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

The square root of 67872840 is about 8238.4974358192. The cubic root of 67872840 is about 407.9109282683.

The spelling of 67872840 in words is "sixty-seven million, eight hundred seventy-two thousand, eight hundred forty".