1024069536 has 72 divisors (see below), whose sum is σ = 3328232544. Its totient is φ = 292590720.

The previous prime is 1024069517. The next prime is 1024069537. The reversal of 1024069536 is 6359604201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1024069536.

It is not an unprimeable number, because it can be changed into a prime (1024069537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 251970 + ... + 256001.

It is an arithmetic number, because the mean of its divisors is an integer number (46225452).

Almost surely, 2^1024069536 is an apocalyptic number.

1024069536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1024069536 is an abundant number, since it is smaller than the sum of its proper divisors (2304163008).

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

1024069536 is a wasteful number, since it uses less digits than its factorization.

1024069536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507994 (or 507983 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 1024069536 is about 32001.0864815556. The cubic root of 1024069536 is about 1007.9596544698.

The spelling of 1024069536 in words is "one billion, twenty-four million, sixty-nine thousand, five hundred thirty-six".