10426000 has 80 divisors (see below), whose sum is σ = 27217008. Its totient is φ = 3840000.

The previous prime is 10425991. The next prime is 10426007. The reversal of 10426000 is 62401.

It can be written as a sum of positive squares in 8 ways, for example, as 2039184 + 8386816 = 1428^2 + 2896^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (10426007) 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, 25800 + ... + 26200.

Almost surely, 2^10426000 is an apocalyptic number.

10426000 is a gapful number since it is divisible by the number (10) 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 10426000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13608504).

10426000 is an abundant number, since it is smaller than the sum of its proper divisors (16791008).

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

10426000 is a wasteful number, since it uses less digits than its factorization.

10426000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 10426000 is about 3228.9317118824. The cubic root of 10426000 is about 218.4603240539.

Adding to 10426000 its reverse (62401), we get a palindrome (10488401).

The spelling of 10426000 in words is "ten million, four hundred twenty-six thousand".