68529600 has 126 divisors (see below), whose sum is σ = 243621560. Its totient is φ = 18270720.

The previous prime is 68529563. The next prime is 68529607. The reversal of 68529600 is 692586.

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 (68529607) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 12021 + ... + 16779.

Almost surely, 2^68529600 is an apocalyptic number.

68529600 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 68529600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121810780).

68529600 is an abundant number, since it is smaller than the sum of its proper divisors (175091960).

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

68529600 is a wasteful number, since it uses less digits than its factorization.

68529600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4787 (or 4769 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 68529600 is about 8278.2606868834. The cubic root of 68529600 is about 409.2224008285. Note that the first 3 decimals are identical.

The spelling of 68529600 in words is "sixty-eight million, five hundred twenty-nine thousand, six hundred".