67528900 has 36 divisors (see below), whose sum is σ = 147029652. Its totient is φ = 26920960.

The previous prime is 67528889. The next prime is 67528921. The reversal of 67528900 is 982576.

It can be written as a sum of positive squares in 6 ways, for example, as 26244 + 67502656 = 162^2 + 8216^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 67528900.

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, 34344 + ... + 36256.

It is an arithmetic number, because the mean of its divisors is an integer number (4084157).

Almost surely, 2^67528900 is an apocalyptic number.

It is an amenable number.

67528900 is an abundant number, since it is smaller than the sum of its proper divisors (79500752).

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

67528900 is a wasteful number, since it uses less digits than its factorization.

67528900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2280 (or 2273 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 67528900 is about 8217.5969723515. The cubic root of 67528900 is about 407.2207428420.

The spelling of 67528900 in words is "sixty-seven million, five hundred twenty-eight thousand, nine hundred".