68578560 has 108 divisors (see below), whose sum is σ = 237314532. Its totient is φ = 18284544.

The previous prime is 68578553. The next prime is 68578577. The reversal of 68578560 is 6587586.

68578560 is a `hidden beast` number, since 6 + 85 + 7 + 8 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8856576 + 59721984 = 2976^2 + 7728^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8544 + ... + 14496.

Almost surely, 2^68578560 is an apocalyptic number.

68578560 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 68578560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118657266).

68578560 is an abundant number, since it is smaller than the sum of its proper divisors (168735972).

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

68578560 is a wasteful number, since it uses less digits than its factorization.

68578560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5980 (or 5963 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 68578560 is about 8281.2173018222. The cubic root of 68578560 is about 409.3198320080.

The spelling of 68578560 in words is "sixty-eight million, five hundred seventy-eight thousand, five hundred sixty".