68646600 has 144 divisors (see below), whose sum is σ = 251568720. Its totient is φ = 16636800.

The previous prime is 68646553. The next prime is 68646623. The reversal of 68646600 is 664686.

68646600 is a `hidden beast` number, since 6 + 8 + 6 + 46 + 600 = 666.

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 (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18067 + ... + 21533.

It is an arithmetic number, because the mean of its divisors is an integer number (1747005).

Almost surely, 2^68646600 is an apocalyptic number.

68646600 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 68646600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125784360).

68646600 is an abundant number, since it is smaller than the sum of its proper divisors (182922120).

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

68646600 is a wasteful number, since it uses less digits than its factorization.

68646600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3500 (or 3488 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 68646600 is about 8285.3243750622. The cubic root of 68646600 is about 409.4551557203.

The spelling of 68646600 in words is "sixty-eight million, six hundred forty-six thousand, six hundred".