10400068 has 48 divisors (see below), whose sum is σ = 22216320. Its totient is φ = 4161024.

The previous prime is 10400059. The next prime is 10400069. The reversal of 10400068 is 86000401.

It is a super-2 number, since 2×10400068² = 216322828809248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (10400069) 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, 60030 + ... + 60202.

It is an arithmetic number, because the mean of its divisors is an integer number (462840).

Almost surely, 2^10400068 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 10400068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11108160).

10400068 is an abundant number, since it is smaller than the sum of its proper divisors (11816252).

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

10400068 is a wasteful number, since it uses less digits than its factorization.

10400068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 10400068 is about 3224.9136422546. The cubic root of 10400068 is about 218.2790523465.

Adding to 10400068 its reverse (86000401), we get a palindrome (96400469).

The spelling of 10400068 in words is "ten million, four hundred thousand, sixty-eight".