10802976 has 48 divisors (see below), whose sum is σ = 29028384. Its totient is φ = 3515904.

The previous prime is 10802971. The next prime is 10802977. The reversal of 10802976 is 67920801.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (10802971) 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, 2820 + ... + 5436.

It is an arithmetic number, because the mean of its divisors is an integer number (604758).

Almost surely, 2^10802976 is an apocalyptic number.

10802976 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 10802976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14514192).

10802976 is an abundant number, since it is smaller than the sum of its proper divisors (18225408).

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

10802976 is a wasteful number, since it uses less digits than its factorization.

10802976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2673 (or 2665 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 10802976 is about 3286.7880978244. The cubic root of 10802976 is about 221.0621911608.

The spelling of 10802976 in words is "ten million, eight hundred two thousand, nine hundred seventy-six".