68752640 has 144 divisors (see below), whose sum is σ = 189846720. Its totient is φ = 23592960.

The previous prime is 68752639. The next prime is 68752661. The reversal of 68752640 is 4625786.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 68752594 and 68752603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267392 + ... + 267648.

It is an arithmetic number, because the mean of its divisors is an integer number (1318380).

Almost surely, 2^68752640 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 68752640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94923360).

68752640 is an abundant number, since it is smaller than the sum of its proper divisors (121094080).

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

68752640 is a wasteful number, since it uses less digits than its factorization.

68752640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

The square root of 68752640 is about 8291.7211723502. The cubic root of 68752640 is about 409.6658788893.

The spelling of 68752640 in words is "sixty-eight million, seven hundred fifty-two thousand, six hundred forty".