1023132420 has 144 divisors (see below), whose sum is σ = 3301382448. Its totient is φ = 255590400.

The previous prime is 1023132413. The next prime is 1023132421. The reversal of 1023132420 is 242313201.

1023132420 is a `hidden beast` number, since 10 + 231 + 3 + 2 + 420 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1179396 + 1021953024 = 1086^2 + 31968^2 .

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 = 1023132393 and 1023132402.

It is not an unprimeable number, because it can be changed into a prime (1023132421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 785770 + ... + 787070.

It is an arithmetic number, because the mean of its divisors is an integer number (22926267).

Almost surely, 2^1023132420 is an apocalyptic number.

1023132420 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 1023132420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1650691224).

1023132420 is an abundant number, since it is smaller than the sum of its proper divisors (2278250028).

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

1023132420 is a wasteful number, since it uses less digits than its factorization.

1023132420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1590 (or 1585 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1023132420 is about 31986.4411899792. The cubic root of 1023132420 is about 1007.6521026364.

Adding to 1023132420 its reverse (242313201), we get a palindrome (1265445621).

The spelling of 1023132420 in words is "one billion, twenty-three million, one hundred thirty-two thousand, four hundred twenty".