68283600 has 240 divisors, whose sum is σ = 273077760. Its totient is φ = 14169600.

The previous prime is 68283529. The next prime is 68283617. The reversal of 68283600 is 638286.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (33).

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 47 ways as a sum of consecutive naturals, for example, 92031 + ... + 92769.

It is an arithmetic number, because the mean of its divisors is an integer number (1137824).

Almost surely, 2^68283600 is an apocalyptic number.

68283600 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 68283600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136538880).

68283600 is an abundant number, since it is smaller than the sum of its proper divisors (204794160).

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

68283600 is a wasteful number, since it uses less digits than its factorization.

68283600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 68283600 is about 8263.3891352156. The cubic root of 68283600 is about 408.7321532669.

The spelling of 68283600 in words is "sixty-eight million, two hundred eighty-three thousand, six hundred".