68545800 has 144 divisors (see below), whose sum is σ = 232925940. Its totient is φ = 18063360.

The previous prime is 68545781. The next prime is 68545817. The reversal of 68545800 is 854586.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2643876 + 65901924 = 1626^2 + 8118^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 203232 + ... + 203568.

Almost surely, 2^68545800 is an apocalyptic number.

68545800 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 68545800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116462970).

68545800 is an abundant number, since it is smaller than the sum of its proper divisors (164380140).

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

68545800 is a wasteful number, since it uses less digits than its factorization.

68545800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 68545800 is about 8279.2390954725. The cubic root of 68545800 is about 409.2546442220.

The spelling of 68545800 in words is "sixty-eight million, five hundred forty-five thousand, eight hundred".