1023675984 has 30 divisors (see below), whose sum is σ = 2864871386. Its totient is φ = 341225280.

The previous prime is 1023675967. The next prime is 1023675997. The reversal of 1023675984 is 4895763201.

1023675984 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 693163584 + 330512400 = 26328^2 + 18180^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

1023675984 is strictly pandigital in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3554287 + ... + 3554574.

It is a 2-persistent number, because it is pandigital, and so is 2⋅1023675984 = 2047351968, but 3⋅1023675984 = 3071027952 is not.

Almost surely, 2^1023675984 is an apocalyptic number.

It is an amenable number.

1023675984 is an abundant number, since it is smaller than the sum of its proper divisors (1841195402).

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

1023675984 is a wasteful number, since it uses less digits than its factorization.

1023675984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7108875 (or 7108866 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1023675984 is about 31994.9368494454. The cubic root of 1023675984 is about 1007.8305176126.

The spelling of 1023675984 in words is "one billion, twenty-three million, six hundred seventy-five thousand, nine hundred eighty-four".