67864800 has 72 divisors (see below), whose sum is σ = 220907736. Its totient is φ = 18096640.

The previous prime is 67864777. The next prime is 67864813. The reversal of 67864800 is 846876.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11739 + ... + 16538.

It is an arithmetic number, because the mean of its divisors is an integer number (3068163).

Almost surely, 2^67864800 is an apocalyptic number.

67864800 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

67864800 is an abundant number, since it is smaller than the sum of its proper divisors (153042936).

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

67864800 is a wasteful number, since it uses less digits than its factorization.

67864800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28300 (or 28287 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 67864800 is about 8238.0094683121. The cubic root of 67864800 is about 407.8948210234.

The spelling of 67864800 in words is "sixty-seven million, eight hundred sixty-four thousand, eight hundred".