10126864 has 40 divisors (see below), whose sum is σ = 21596832. Its totient is φ = 4561920.

The previous prime is 10126861. The next prime is 10126871. The reversal of 10126864 is 46862101.

It is not an unprimeable number, because it can be changed into a prime (10126861) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28512 + ... + 28864.

Almost surely, 2^10126864 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 10126864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10798416).

10126864 is an abundant number, since it is smaller than the sum of its proper divisors (11469968).

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

10126864 is a wasteful number, since it uses less digits than its factorization.

10126864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 10126864 is about 3182.2734012024. The cubic root of 10126864 is about 216.3507105498.

Adding to 10126864 its reverse (46862101), we get a palindrome (56988965).

The spelling of 10126864 in words is "ten million, one hundred twenty-six thousand, eight hundred sixty-four".