1024069800 has 192 divisors, whose sum is σ = 3620393280. Its totient is φ = 237219840.

The previous prime is 1024069799. The next prime is 1024069801. The reversal of 1024069800 is 89604201.

It is an interprime number because it is at equal distance from previous prime (1024069799) and next prime (1024069801).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1024069801) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 128739 + ... + 136461.

It is an arithmetic number, because the mean of its divisors is an integer number (18856215).

Almost surely, 2^1024069800 is an apocalyptic number.

1024069800 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 1024069800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1810196640).

1024069800 is an abundant number, since it is smaller than the sum of its proper divisors (2596323480).

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

1024069800 is a wasteful number, since it uses less digits than its factorization.

1024069800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7772 (or 7763 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 1024069800 is about 32001.0906064153. The cubic root of 1024069800 is about 1007.9597410855.

The spelling of 1024069800 in words is "one billion, twenty-four million, sixty-nine thousand, eight hundred".