1023085008 has 180 divisors, whose sum is σ = 3195357984. Its totient is φ = 305289600.

The previous prime is 1023085003. The next prime is 1023085031. The reversal of 1023085008 is 8005803201.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023085003) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1236691 + ... + 1237517.

Almost surely, 2^1023085008 is an apocalyptic number.

1023085008 is a gapful number since it is divisible by the number (18) 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 1023085008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1597678992).

1023085008 is an abundant number, since it is smaller than the sum of its proper divisors (2172272976).

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

1023085008 is a wasteful number, since it uses less digits than its factorization.

1023085008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1023085008 is about 31985.7000548683. The cubic root of 1023085008 is about 1007.6365375155.

Adding to 1023085008 its reverse (8005803201), we get a palindrome (9028888209).

The spelling of 1023085008 in words is "one billion, twenty-three million, eighty-five thousand, eight".