68905600 has 96 divisors (see below), whose sum is σ = 173498940. Its totient is φ = 27033600.

The previous prime is 68905597. The next prime is 68905601. The reversal of 68905600 is 650986.

68905600 = T₃₉ + T₄₀ + ... + T₇₄₄.

It can be written as a sum of positive squares in 6 ways, for example, as 5798464 + 63107136 = 2408^2 + 7944^2 .

It is a super-2 number, since 2×68905600² = 9495963422720000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (68905601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 195024 + ... + 195376.

Almost surely, 2^68905600 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 68905600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86749470).

68905600 is an abundant number, since it is smaller than the sum of its proper divisors (104593340).

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

68905600 is a wasteful number, since it uses less digits than its factorization.

68905600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 68905600 is about 8300.9397058405. The cubic root of 68905600 is about 409.9694603467.

The spelling of 68905600 in words is "sixty-eight million, nine hundred five thousand, six hundred".