67820900 has 54 divisors (see below), whose sum is σ = 171211698. Its totient is φ = 23251200.

The previous prime is 67820887. The next prime is 67820903. The reversal of 67820900 is 902876.

It can be written as a sum of positive squares in 3 ways, for example, as 1658944 + 66161956 = 1288^2 + 8134^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67820903) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2021 + ... + 11820.

It is an arithmetic number, because the mean of its divisors is an integer number (3170587).

Almost surely, 2^67820900 is an apocalyptic number.

It is an amenable number.

67820900 is an abundant number, since it is smaller than the sum of its proper divisors (103390798).

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

67820900 is a wasteful number, since it uses less digits than its factorization.

67820900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13869 (or 13855 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 67820900 is about 8235.3445586691. The cubic root of 67820900 is about 407.8068498163.

The spelling of 67820900 in words is "sixty-seven million, eight hundred twenty thousand, nine hundred".