68745600 has 576 divisors, whose sum is σ = 315694080. Its totient is φ = 13824000.

The previous prime is 68745587. The next prime is 68745613. The reversal of 68745600 is 654786.

It is a happy number.

68745600 is a `hidden beast` number, since 6 + 8 + 7 + 45 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (68745587) and next prime (68745613).

It is a tau number, because it is divible by the number of its divisors (576).

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2217585 + ... + 2217615.

It is an arithmetic number, because the mean of its divisors is an integer number (548080).

Almost surely, 2^68745600 is an apocalyptic number.

68745600 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 68745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157847040).

68745600 is an abundant number, since it is smaller than the sum of its proper divisors (246948480).

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

68745600 is a wasteful number, since it uses less digits than its factorization.

68745600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 68745600 is about 8291.2966416599. The cubic root of 68745600 is about 409.6518956870.

The spelling of 68745600 in words is "sixty-eight million, seven hundred forty-five thousand, six hundred".