10820016 has 60 divisors (see below), whose sum is σ = 31337280. Its totient is φ = 3480960.

The previous prime is 10820009. The next prime is 10820027. The reversal of 10820016 is 61002801.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2881 + ... + 5471.

It is an arithmetic number, because the mean of its divisors is an integer number (522288).

Almost surely, 2^10820016 is an apocalyptic number.

10820016 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 10820016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15668640).

10820016 is an abundant number, since it is smaller than the sum of its proper divisors (20517264).

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

10820016 is a wasteful number, since it uses less digits than its factorization.

10820016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2634 (or 2625 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 10820016 is about 3289.3792727504. The cubic root of 10820016 is about 221.1783604122.

Adding to 10820016 its reverse (61002801), we get a palindrome (71822817).

The spelling of 10820016 in words is "ten million, eight hundred twenty thousand, sixteen".