68414000 has 80 divisors (see below), whose sum is σ = 167905920. Its totient is φ = 26956800.

The previous prime is 68413997. The next prime is 68414009. The reversal of 68414000 is 41486.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (68414009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157784 + ... + 158216.

It is an arithmetic number, because the mean of its divisors is an integer number (2098824).

Almost surely, 2^68414000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83952960).

68414000 is an abundant number, since it is smaller than the sum of its proper divisors (99491920).

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

68414000 is a wasteful number, since it uses less digits than its factorization.

68414000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 68414000 is about 8271.2755969076. The cubic root of 68414000 is about 408.9921707083.

Adding to 68414000 its reverse (41486), we get a palindrome (68455486).

The spelling of 68414000 in words is "sixty-eight million, four hundred fourteen thousand".