68741600 has 72 divisors (see below), whose sum is σ = 173660760. Its totient is φ = 26539520.

The previous prime is 68741593. The next prime is 68741611. The reversal of 68741600 is 614786.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 11 ways as a sum of consecutive naturals, for example, 21719 + ... + 24681.

It is an arithmetic number, because the mean of its divisors is an integer number (2411955).

Almost surely, 2^68741600 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 68741600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86830380).

68741600 is an abundant number, since it is smaller than the sum of its proper divisors (104919160).

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

68741600 is a wasteful number, since it uses less digits than its factorization.

68741600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3012 (or 2999 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 68741600 is about 8291.0554213562. The cubic root of 68741600 is about 409.6439502603.

The spelling of 68741600 in words is "sixty-eight million, seven hundred forty-one thousand, six hundred".