68187600 has 360 divisors, whose sum is σ = 268649472. Its totient is φ = 15897600.

The previous prime is 68187583. The next prime is 68187607. The reversal of 68187600 is 678186.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68187607) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1450777 + ... + 1450823.

Almost surely, 2^68187600 is an apocalyptic number.

68187600 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 68187600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134324736).

68187600 is an abundant number, since it is smaller than the sum of its proper divisors (200461872).

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

68187600 is a wasteful number, since it uses less digits than its factorization.

68187600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 68187600 is about 8257.5783375031. The cubic root of 68187600 is about 408.5405177474.

The spelling of 68187600 in words is "sixty-eight million, one hundred eighty-seven thousand, six hundred".