67381800 has 48 divisors (see below), whose sum is σ = 208885440. Its totient is φ = 17968320.

The previous prime is 67381799. The next prime is 67381801. The reversal of 67381800 is 818376.

It is an interprime number because it is at equal distance from previous prime (67381799) and next prime (67381801).

It is not an unprimeable number, because it can be changed into a prime (67381801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55552 + ... + 56751.

It is an arithmetic number, because the mean of its divisors is an integer number (4351780).

Almost surely, 2^67381800 is an apocalyptic number.

67381800 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

67381800 is an abundant number, since it is smaller than the sum of its proper divisors (141503640).

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

67381800 is a wasteful number, since it uses less digits than its factorization.

67381800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112322 (or 112313 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 67381800 is about 8208.6417877746. The cubic root of 67381800 is about 406.9248412873.

The spelling of 67381800 in words is "sixty-seven million, three hundred eighty-one thousand, eight hundred".