10976000 has 144 divisors (see below), whose sum is σ = 31886400. Its totient is φ = 3763200.

The previous prime is 10975997. The next prime is 10976011. The reversal of 10976000 is 67901.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an unprimeable number.

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, 1567997 + ... + 1568003.

Almost surely, 2^10976000 is an apocalyptic number.

10976000 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 10976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15943200).

10976000 is an abundant number, since it is smaller than the sum of its proper divisors (20910400).

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

10976000 is an frugal number, since it uses more digits than its factorization.

10976000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 23.

The square root of 10976000 is about 3313.0046785358. The cubic root of 10976000 is about 222.2361472755.

The spelling of 10976000 in words is "ten million, nine hundred seventy-six thousand".