67827840 has 64 divisors (see below), whose sum is σ = 216207360. Its totient is φ = 18086912.

The previous prime is 67827829. The next prime is 67827857. The reversal of 67827840 is 4872876.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 67827792 and 67827801.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15744 + ... + 19583.

It is an arithmetic number, because the mean of its divisors is an integer number (3378240).

Almost surely, 2^67827840 is an apocalyptic number.

67827840 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

67827840 is an abundant number, since it is smaller than the sum of its proper divisors (148379520).

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

67827840 is a wasteful number, since it uses less digits than its factorization.

67827840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35349 (or 35337 counting only the distinct ones).

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

The square root of 67827840 is about 8235.7659024525. The cubic root of 67827840 is about 407.8207594076.

The spelling of 67827840 in words is "sixty-seven million, eight hundred twenty-seven thousand, eight hundred forty".