1023002016 has 48 divisors (see below), whose sum is σ = 2705016384. Its totient is φ = 338507264.

The previous prime is 1023001997. The next prime is 1023002017. The reversal of 1023002016 is 6102003201.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 1023001986 and 1023002004.

It is not an unprimeable number, because it can be changed into a prime (1023002017) 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, 25740 + ... + 52043.

It is an arithmetic number, because the mean of its divisors is an integer number (56354508).

Almost surely, 2^1023002016 is an apocalyptic number.

1023002016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1023002016 is an abundant number, since it is smaller than the sum of its proper divisors (1682014368).

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

1023002016 is a wasteful number, since it uses less digits than its factorization.

1023002016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77933 (or 77925 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1023002016 is about 31984.4026988156. The cubic root of 1023002016 is about 1007.6092905021.

Adding to 1023002016 its reverse (6102003201), we get a palindrome (7125005217).

The spelling of 1023002016 in words is "one billion, twenty-three million, two thousand, sixteen".