68310000 has 400 divisors, whose sum is σ = 278910720. Its totient is φ = 15840000.

The previous prime is 68309999. The next prime is 68310007. The reversal of 68310000 is 1386.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×68310000² = 9332512200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68310007) 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 79 ways as a sum of consecutive naturals, for example, 2969989 + ... + 2970011.

Almost surely, 2^68310000 is an apocalyptic number.

68310000 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 68310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139455360).

68310000 is an abundant number, since it is smaller than the sum of its proper divisors (210600720).

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

68310000 is a wasteful number, since it uses less digits than its factorization.

68310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 68310000 is about 8264.9863883735. The cubic root of 68310000 is about 408.7848215432.

Adding to 68310000 its reverse (1386), we get a palindrome (68311386).

The spelling of 68310000 in words is "sixty-eight million, three hundred ten thousand".