1023083640 has 96 divisors (see below), whose sum is σ = 3336212880. Its totient is φ = 271904256.

The previous prime is 1023083599. The next prime is 1023083651. The reversal of 1023083640 is 463803201.

It is a happy number.

1023083640 is a `hidden beast` number, since 10 + 2 + 3 + 0 + 8 + 3 + 640 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105892 + ... + 115148.

Almost surely, 2^1023083640 is an apocalyptic number.

1023083640 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 1023083640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1668106440).

1023083640 is an abundant number, since it is smaller than the sum of its proper divisors (2313129240).

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

1023083640 is a wasteful number, since it uses less digits than its factorization.

1023083640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9581 (or 9574 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1023083640 is about 31985.6786703049. The cubic root of 1023083640 is about 1007.6360884009.

Adding to 1023083640 its reverse (463803201), we get a palindrome (1486886841).

The spelling of 1023083640 in words is "one billion, twenty-three million, eighty-three thousand, six hundred forty".