67971840 has 144 divisors (see below), whose sum is σ = 224480256. Its totient is φ = 17510400.

The previous prime is 67971803. The next prime is 67971851. The reversal of 67971840 is 4817976.

It is a junction number, because it is equal to n+sod(n) for n = 67971792 and 67971801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118755 + ... + 119325.

Almost surely, 2^67971840 is an apocalyptic number.

67971840 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 67971840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112240128).

67971840 is an abundant number, since it is smaller than the sum of its proper divisors (156508416).

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

67971840 is a wasteful number, since it uses less digits than its factorization.

67971840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The square root of 67971840 is about 8244.5036236271. The cubic root of 67971840 is about 408.1091595655.

The spelling of 67971840 in words is "sixty-seven million, nine hundred seventy-one thousand, eight hundred forty".