1011023820 has 108 divisors (see below), whose sum is σ = 3236884560. Its totient is φ = 255400128.

The previous prime is 1011023803. The next prime is 1011023873. The reversal of 1011023820 is 283201101.

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 = 1011023793 and 1011023802.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 57201 + ... + 72759.

Almost surely, 2^1011023820 is an apocalyptic number.

1011023820 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 1011023820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1618442280).

1011023820 is an abundant number, since it is smaller than the sum of its proper divisors (2225860740).

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

1011023820 is a wasteful number, since it uses less digits than its factorization.

1011023820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15612 (or 15588 counting only the distinct ones).

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

The square root of 1011023820 is about 31796.6007617167. The cubic root of 1011023820 is about 1003.6611860250.

Adding to 1011023820 its reverse (283201101), we get a palindrome (1294224921).

It can be divided in two parts, 10110 and 23820, that added together give a triangular number (33930 = T₂₆₀).

The spelling of 1011023820 in words is "one billion, eleven million, twenty-three thousand, eight hundred twenty".