68671680 has 224 divisors, whose sum is σ = 272125440. Its totient is φ = 14254080.

The previous prime is 68671663. The next prime is 68671703. The reversal of 68671680 is 8617686.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73456 + ... + 74384.

Almost surely, 2^68671680 is an apocalyptic number.

68671680 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 68671680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136062720).

68671680 is an abundant number, since it is smaller than the sum of its proper divisors (203453760).

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

68671680 is a wasteful number, since it uses less digits than its factorization.

68671680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 68671680 is about 8286.8377563459. The cubic root of 68671680 is about 409.5050143923.

The spelling of 68671680 in words is "sixty-eight million, six hundred seventy-one thousand, six hundred eighty".