67834845 has 96 divisors (see below), whose sum is σ = 141523200. Its totient is φ = 29693952.

The previous prime is 67834841. The next prime is 67834847. The reversal of 67834845 is 54843876.

It is not a de Polignac number, because 67834845 - 2² = 67834841 is a prime.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 67834845.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67834841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 188776 + ... + 189134.

It is an arithmetic number, because the mean of its divisors is an integer number (1474200).

Almost surely, 2^67834845 is an apocalyptic number.

67834845 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

67834845 is an abundant number, since it is smaller than the sum of its proper divisors (73688355).

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

67834845 is a wasteful number, since it uses less digits than its factorization.

67834845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 416 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 67834845 is about 8236.1911706808. The cubic root of 67834845 is about 407.8347983139.

It can be divided in two parts, 6783 and 4845, that added together give a triangular number (11628 = T₁₅₂).

The spelling of 67834845 in words is "sixty-seven million, eight hundred thirty-four thousand, eight hundred forty-five".