1023082000 has 40 divisors (see below), whose sum is σ = 2473817112. Its totient is φ = 409232000.

The previous prime is 1023081881. The next prime is 1023082009. The reversal of 1023082000 is 2803201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 302481664 + 720600336 = 17392^2 + 26844^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1023082009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 253771 + ... + 257770.

Almost surely, 2^1023082000 is an apocalyptic number.

1023082000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1023082000 is an abundant number, since it is smaller than the sum of its proper divisors (1450735112).

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

1023082000 is an equidigital number, since it uses as much as digits as its factorization.

1023082000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511564 (or 511548 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1023082000 is about 31985.6530338213. The cubic root of 1023082000 is about 1007.6355499881.

Adding to 1023082000 its reverse (2803201), we get a palindrome (1025885201).

The spelling of 1023082000 in words is "one billion, twenty-three million, eighty-two thousand".