68100006 has 64 divisors (see below), whose sum is σ = 151619328. Its totient is φ = 20262528.

The previous prime is 68099951. The next prime is 68100007. The reversal of 68100006 is 60000186.

It is a super-2 number, since 2×68100006² = 9275221634400072, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68100007) 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, 433680 + ... + 433836.

It is an arithmetic number, because the mean of its divisors is an integer number (2369052).

Almost surely, 2^68100006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68100006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75809664).

68100006 is an abundant number, since it is smaller than the sum of its proper divisors (83519322).

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

68100006 is a wasteful number, since it uses less digits than its factorization.

68100006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325.

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 68100006 is about 8252.2727778473. The cubic root of 68100006 is about 408.3655053184.

The spelling of 68100006 in words is "sixty-eight million, one hundred thousand, six".