68576640 has 256 divisors, whose sum is σ = 253808640. Its totient is φ = 15564800.

The previous prime is 68576633. The next prime is 68576653. The reversal of 68576640 is 4667586.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 68576592 and 68576601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 358945 + ... + 359135.

It is an arithmetic number, because the mean of its divisors is an integer number (991440).

Almost surely, 2^68576640 is an apocalyptic number.

68576640 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 68576640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126904320).

68576640 is an abundant number, since it is smaller than the sum of its proper divisors (185232000).

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

68576640 is a wasteful number, since it uses less digits than its factorization.

68576640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 68576640 is about 8281.1013760248. The cubic root of 68576640 is about 409.3160120511.

The spelling of 68576640 in words is "sixty-eight million, five hundred seventy-six thousand, six hundred forty".