1023865920 has 896 divisors, whose sum is σ = 4798771200. Its totient is φ = 201553920.

The previous prime is 1023865891. The next prime is 1023865951. The reversal of 1023865920 is 295683201.

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

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 53887671 + ... + 53887689.

Almost surely, 2^1023865920 is an apocalyptic number.

1023865920 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 1023865920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2399385600).

1023865920 is an abundant number, since it is smaller than the sum of its proper divisors (3774905280).

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

1023865920 is an equidigital number, since it uses as much as digits as its factorization.

1023865920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1023865920 is about 31997.9049314170. The cubic root of 1023865920 is about 1007.8928457524.

The spelling of 1023865920 in words is "one billion, twenty-three million, eight hundred sixty-five thousand, nine hundred twenty".