68866560 has 360 divisors, whose sum is σ = 281991996. Its totient is φ = 15482880.

The previous prime is 68866559. The next prime is 68866571. The reversal of 68866560 is 6566886.

68866560 is a `hidden beast` number, since 6 + 8 + 86 + 6 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 59721984 + 9144576 = 7728^2 + 3024^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

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, 1128930 + ... + 1128990.

Almost surely, 2^68866560 is an apocalyptic number.

68866560 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 68866560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140995998).

68866560 is an abundant number, since it is smaller than the sum of its proper divisors (213125436).

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

68866560 is a wasteful number, since it uses less digits than its factorization.

68866560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 68866560 is about 8298.5878316735. The cubic root of 68866560 is about 409.8920199481.

The spelling of 68866560 in words is "sixty-eight million, eight hundred sixty-six thousand, five hundred sixty".