68064840 has 256 divisors, whose sum is σ = 248832000. Its totient is φ = 16485120.

The previous prime is 68064817. The next prime is 68064863. The reversal of 68064840 is 4846086.

68064840 is a `hidden beast` number, since 6 + 8 + 0 + 648 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (68064817) and next prime (68064863).

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 = 68064795 and 68064804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 636067 + ... + 636173.

It is an arithmetic number, because the mean of its divisors is an integer number (972000).

Almost surely, 2^68064840 is an apocalyptic number.

68064840 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 68064840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124416000).

68064840 is an abundant number, since it is smaller than the sum of its proper divisors (180767160).

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

68064840 is a wasteful number, since it uses less digits than its factorization.

68064840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 167 counting only the distinct ones).

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

The square root of 68064840 is about 8250.1418169629. The cubic root of 68064840 is about 408.2952015852.

The spelling of 68064840 in words is "sixty-eight million, sixty-four thousand, eight hundred forty".