10820448 has 36 divisors (see below), whose sum is σ = 30771468. Its totient is φ = 3606720.

The previous prime is 10820437. The next prime is 10820473. The reversal of 10820448 is 84402801.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18498 + ... + 19073.

It is an arithmetic number, because the mean of its divisors is an integer number (854763).

Almost surely, 2^10820448 is an apocalyptic number.

10820448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10820448 is an abundant number, since it is smaller than the sum of its proper divisors (19951020).

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

10820448 is a wasteful number, since it uses less digits than its factorization.

10820448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37587 (or 37576 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 10820448 is about 3289.4449379797. Note that the first 3 decimals coincide. The cubic root of 10820448 is about 221.1813039624.

The spelling of 10820448 in words is "ten million, eight hundred twenty thousand, four hundred forty-eight".