68565600 has 216 divisors, whose sum is σ = 246781080. Its totient is φ = 17909760.

The previous prime is 68565593. The next prime is 68565613. The reversal of 68565600 is 656586.

It is a super-3 number, since 3×68565600³ (a number of 24 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 640747 + ... + 640853.

It is an arithmetic number, because the mean of its divisors is an integer number (1142505).

Almost surely, 2^68565600 is an apocalyptic number.

68565600 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 68565600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123390540).

68565600 is an abundant number, since it is smaller than the sum of its proper divisors (178215480).

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

68565600 is a wasteful number, since it uses less digits than its factorization.

68565600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 68565600 is about 8280.4347711941. The cubic root of 68565600 is about 409.2940459157.

The spelling of 68565600 in words is "sixty-eight million, five hundred sixty-five thousand, six hundred".