68766624 has 192 divisors, whose sum is σ = 217728000. Its totient is φ = 21047040.

The previous prime is 68766623. The next prime is 68766631. The reversal of 68766624 is 42666786.

Its product of digits (580608) is a multiple of the sum of its prime factors (168).

It is a self number, because there is not a number n which added to its sum of digits gives 68766624.

It is not an unprimeable number, because it can be changed into a prime (68766623) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 968509 + ... + 968579.

It is an arithmetic number, because the mean of its divisors is an integer number (1134000).

Almost surely, 2^68766624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68766624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108864000).

68766624 is an abundant number, since it is smaller than the sum of its proper divisors (148961376).

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

68766624 is a wasteful number, since it uses less digits than its factorization.

68766624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 154 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 68766624 is about 8292.5643802144. The cubic root of 68766624 is about 409.6936517831.

The spelling of 68766624 in words is "sixty-eight million, seven hundred sixty-six thousand, six hundred twenty-four".