68406000 has 160 divisors (see below), whose sum is σ = 237776448. Its totient is φ = 16819200.

The previous prime is 68405971. The next prime is 68406001. The reversal of 68406000 is 60486.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68406001) 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, 77562 + ... + 78438.

Almost surely, 2^68406000 is an apocalyptic number.

68406000 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 68406000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118888224).

68406000 is an abundant number, since it is smaller than the sum of its proper divisors (169370448).

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

68406000 is a wasteful number, since it uses less digits than its factorization.

68406000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 68406000 is about 8270.7919814248. The cubic root of 68406000 is about 408.9762282360.

Adding to 68406000 its reverse (60486), we get a palindrome (68466486).

The spelling of 68406000 in words is "sixty-eight million, four hundred six thousand".