10762020 has 72 divisors (see below), whose sum is σ = 34574904. Its totient is φ = 2700288.

The previous prime is 10762001. The next prime is 10762027. The reversal of 10762020 is 2026701.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5116644 + 5645376 = 2262^2 + 2376^2 .

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 = 10761984 and 10762002.

It is not an unprimeable number, because it can be changed into a prime (10762027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1302 + ... + 4818.

It is an arithmetic number, because the mean of its divisors is an integer number (480207).

Almost surely, 2^10762020 is an apocalyptic number.

10762020 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 10762020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17287452).

10762020 is an abundant number, since it is smaller than the sum of its proper divisors (23812884).

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

10762020 is a wasteful number, since it uses less digits than its factorization.

10762020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3549 (or 3544 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 10762020 is about 3280.5517828560. The cubic root of 10762020 is about 220.7824753735.

Adding to 10762020 its reverse (2026701), we get a palindrome (12788721).

The spelling of 10762020 in words is "ten million, seven hundred sixty-two thousand, twenty".