68761600 has 144 divisors (see below), whose sum is σ = 182800800. Its totient is φ = 25559040.

The previous prime is 68761573. The next prime is 68761607. The reversal of 68761600 is 616786.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68761607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 870361 + ... + 870439.

It is an arithmetic number, because the mean of its divisors is an integer number (1269450).

Almost surely, 2^68761600 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 68761600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91400400).

68761600 is an abundant number, since it is smaller than the sum of its proper divisors (114039200).

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

68761600 is a wasteful number, since it uses less digits than its factorization.

68761600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 68761600 is about 8292.2614527040. The cubic root of 68761600 is about 409.6836743118.

The spelling of 68761600 in words is "sixty-eight million, seven hundred sixty-one thousand, six hundred".