10126976 has 32 divisors (see below), whose sum is σ = 20521380. Its totient is φ = 4976640.

The previous prime is 10126939. The next prime is 10126993. The reversal of 10126976 is 67962101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 10086976 + 40000 = 3176^2 + 200^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7160 + ... + 8456.

Almost surely, 2^10126976 is an apocalyptic number.

10126976 is a gapful number since it is divisible by the number (16) 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 10126976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10260690).

10126976 is an abundant number, since it is smaller than the sum of its proper divisors (10394404).

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

10126976 is an equidigital number, since it uses as much as digits as its factorization.

10126976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1372 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 32.

The square root of 10126976 is about 3182.2909986360. The cubic root of 10126976 is about 216.3515081376.

The spelling of 10126976 in words is "ten million, one hundred twenty-six thousand, nine hundred seventy-six".