1023985800 has 240 divisors, whose sum is σ = 3672979200. Its totient is φ = 264124800.

The previous prime is 1023985777. The next prime is 1023985843. The reversal of 1023985800 is 85893201.

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

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 59 ways as a sum of consecutive naturals, for example, 501181 + ... + 503219.

It is an arithmetic number, because the mean of its divisors is an integer number (15304080).

Almost surely, 2^1023985800 is an apocalyptic number.

1023985800 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 1023985800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1836489600).

1023985800 is an abundant number, since it is smaller than the sum of its proper divisors (2648993400).

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

1023985800 is a wasteful number, since it uses less digits than its factorization.

1023985800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2098 (or 2080 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 1023985800 is about 31999.7781242308. The cubic root of 1023985800 is about 1007.9321808113.

The spelling of 1023985800 in words is "one billion, twenty-three million, nine hundred eighty-five thousand, eight hundred".