10771020 has 72 divisors (see below), whose sum is σ = 35192976. Its totient is φ = 2650752.

The previous prime is 10771009. The next prime is 10771039. The reversal of 10771020 is 2017701.

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

It is a junction number, because it is equal to n+sod(n) for n = 10770984 and 10771002.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39 + ... + 4641.

Almost surely, 2^10771020 is an apocalyptic number.

10771020 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 10771020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17596488).

10771020 is an abundant number, since it is smaller than the sum of its proper divisors (24421956).

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

10771020 is a wasteful number, since it uses less digits than its factorization.

10771020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4631 (or 4626 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 18.

The square root of 10771020 is about 3281.9232166521. The cubic root of 10771020 is about 220.8440031236.

Adding to 10771020 its reverse (2017701), we get a palindrome (12788721).

The spelling of 10771020 in words is "ten million, seven hundred seventy-one thousand, twenty".