68627280 has 80 divisors (see below), whose sum is σ = 213736320. Its totient is φ = 18215424.

The previous prime is 68627263. The next prime is 68627287. The reversal of 68627280 is 8272686.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68627287) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 64029 + ... + 65091.

It is an arithmetic number, because the mean of its divisors is an integer number (2671704).

Almost surely, 2^68627280 is an apocalyptic number.

68627280 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 68627280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106868160).

68627280 is an abundant number, since it is smaller than the sum of its proper divisors (145109040).

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

68627280 is a wasteful number, since it uses less digits than its factorization.

68627280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 68627280 is about 8284.1583760814. The cubic root of 68627280 is about 409.4167395625.

It can be divided in two parts, 686 and 27280, that added together give a triangular number (27966 = T₂₃₆).

The spelling of 68627280 in words is "sixty-eight million, six hundred twenty-seven thousand, two hundred eighty".