68086800 has 90 divisors (see below), whose sum is σ = 236292602. Its totient is φ = 18155520.

The previous prime is 68086783. The next prime is 68086801. The reversal of 68086800 is 868086.

It can be written as a sum of positive squares in 3 ways, for example, as 18974736 + 49112064 = 4356^2 + 7008^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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

It is not an unprimeable number, because it can be changed into a prime (68086801) 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, 5857 + ... + 13056.

Almost surely, 2^68086800 is an apocalyptic number.

68086800 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

68086800 is an abundant number, since it is smaller than the sum of its proper divisors (168205802).

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

68086800 is a wasteful number, since it uses less digits than its factorization.

68086800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18937 (or 18923 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 68086800 is about 8251.4725958461. The cubic root of 68086800 is about 408.3391067720.

It can be divided in two parts, 68086 and 800, that added together give a palindrome (68886).

The spelling of 68086800 in words is "sixty-eight million, eighty-six thousand, eight hundred".