10820472 has 64 divisors (see below), whose sum is σ = 29568000. Its totient is φ = 3279744.

The previous prime is 10820437. The next prime is 10820473. The reversal of 10820472 is 27402801.

10820472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10820472² = 234165228605568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10820473) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24429 + ... + 24867.

It is an arithmetic number, because the mean of its divisors is an integer number (462000).

Almost surely, 2^10820472 is an apocalyptic number.

10820472 is a gapful number since it is divisible by the number (12) 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 10820472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14784000).

10820472 is an abundant number, since it is smaller than the sum of its proper divisors (18747528).

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

10820472 is a wasteful number, since it uses less digits than its factorization.

10820472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 10820472 is about 3289.4485860095. The cubic root of 10820472 is about 221.1814674907.

The spelling of 10820472 in words is "ten million, eight hundred twenty thousand, four hundred seventy-two".