68006460 has 96 divisors (see below), whose sum is σ = 205111872. Its totient is φ = 16773120.

The previous prime is 68006441. The next prime is 68006461. The reversal of 68006460 is 6460086.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68006461) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61674 + ... + 62766.

It is an arithmetic number, because the mean of its divisors is an integer number (2136582).

Almost surely, 2^68006460 is an apocalyptic number.

68006460 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 68006460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102555936).

68006460 is an abundant number, since it is smaller than the sum of its proper divisors (137105412).

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

68006460 is a wasteful number, since it uses less digits than its factorization.

68006460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1183 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 68006460 is about 8246.6029369674. The cubic root of 68006460 is about 408.1784350236.

The spelling of 68006460 in words is "sixty-eight million, six thousand, four hundred sixty".