68736600 has 120 divisors (see below), whose sum is σ = 238788660. Its totient is φ = 18325440.

The previous prime is 68736587. The next prime is 68736637. The reversal of 68736600 is 663786.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

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 29 ways as a sum of consecutive naturals, for example, 14079 + ... + 18321.

Almost surely, 2^68736600 is an apocalyptic number.

68736600 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 68736600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119394330).

68736600 is an abundant number, since it is smaller than the sum of its proper divisors (170052060).

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

68736600 is a wasteful number, since it uses less digits than its factorization.

68736600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4271 (or 4253 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 68736600 is about 8290.7538861071. The cubic root of 68736600 is about 409.6340180436.

The spelling of 68736600 in words is "sixty-eight million, seven hundred thirty-six thousand, six hundred".