67048200 has 108 divisors (see below), whose sum is σ = 226342935. Its totient is φ = 17786880.

The previous prime is 67048199. The next prime is 67048217. The reversal of 67048200 is 284076.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 8892324 + 58155876 = 2982^2 + 7626^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=5790.

It is a super-2 number, since 2×67048200² = 8990922246480000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 347304 + ... + 347496.

Almost surely, 2^67048200 is an apocalyptic number.

67048200 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 67048200

67048200 is an abundant number, since it is smaller than the sum of its proper divisors (159294735).

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

67048200 is a wasteful number, since it uses less digits than its factorization.

67048200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 67048200 is about 8188.2965261402. The cubic root of 67048200 is about 406.2521830257.

The spelling of 67048200 in words is "sixty-seven million, forty-eight thousand, two hundred".