68776960 has 176 divisors, whose sum is σ = 200442240. Its totient is φ = 22118400.

The previous prime is 68776957. The next prime is 68776963. The reversal of 68776960 is 6967786.

It is an interprime number because it is at equal distance from previous prime (68776957) and next prime (68776963).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68776963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 680910 + ... + 681010.

It is a vampire number, since it can be written as 7676 ⋅ 8960 (with its own digits).

Almost surely, 2^68776960 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 68776960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100221120).

68776960 is an abundant number, since it is smaller than the sum of its proper divisors (131665280).

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

68776960 is a wasteful number, since it uses less digits than its factorization.

68776960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 49.

The square root of 68776960 is about 8293.1875657072. The cubic root of 68776960 is about 409.7141771542.

The spelling of 68776960 in words is "sixty-eight million, seven hundred seventy-six thousand, nine hundred sixty".