68648040 has 128 divisors (see below), whose sum is σ = 242352000. Its totient is φ = 17224704.

The previous prime is 68648033. The next prime is 68648053. The reversal of 68648040 is 4084686.

68648040 is a `hidden beast` number, since 6 + 8 + 648 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 68647986 and 68648004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16491 + ... + 20229.

It is an arithmetic number, because the mean of its divisors is an integer number (1893375).

Almost surely, 2^68648040 is an apocalyptic number.

68648040 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 68648040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121176000).

68648040 is an abundant number, since it is smaller than the sum of its proper divisors (173703960).

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

68648040 is a wasteful number, since it uses less digits than its factorization.

68648040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3776 (or 3766 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 68648040 is about 8285.4112752476. The cubic root of 68648040 is about 409.4580187477.

The spelling of 68648040 in words is "sixty-eight million, six hundred forty-eight thousand, forty".