68027040 has 240 divisors, whose sum is σ = 249729480. Its totient is φ = 17418240.

The previous prime is 68027039. The next prime is 68027041. The reversal of 68027040 is 4072086.

It is an interprime number because it is at equal distance from previous prime (68027039) and next prime (68027041).

It can be written as a sum of positive squares in 4 ways, for example, as 33593616 + 34433424 = 5796^2 + 5868^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 68026995 and 68027013.

It is not an unprimeable number, because it can be changed into a prime (68027041) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 375750 + ... + 375930.

Almost surely, 2^68027040 is an apocalyptic number.

68027040 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 68027040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124864740).

68027040 is an abundant number, since it is smaller than the sum of its proper divisors (181702440).

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

68027040 is a wasteful number, since it uses less digits than its factorization.

68027040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 68027040 is about 8247.8506291033. The cubic root of 68027040 is about 408.2196049604.

The spelling of 68027040 in words is "sixty-eight million, twenty-seven thousand, forty".