68046720 has 256 divisors, whose sum is σ = 254983680. Its totient is φ = 15114240.

The previous prime is 68046707. The next prime is 68046739. The reversal of 68046720 is 2764086.

It is a super-2 number, since 2×68046720² = 9260712205516800, which contains 22 as substring.

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, 819799 + ... + 819881.

It is an arithmetic number, because the mean of its divisors is an integer number (996030).

Almost surely, 2^68046720 is an apocalyptic number.

68046720 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 68046720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127491840).

68046720 is an abundant number, since it is smaller than the sum of its proper divisors (186936960).

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

68046720 is a wasteful number, since it uses less digits than its factorization.

68046720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 68046720 is about 8249.0435809250. The cubic root of 68046720 is about 408.2589666967.

The spelling of 68046720 in words is "sixty-eight million, forty-six thousand, seven hundred twenty".