1022065800 has 192 divisors, whose sum is σ = 3719464320. Its totient is φ = 227266560.

The previous prime is 1022065717. The next prime is 1022065801. The reversal of 1022065800 is 85602201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1022065801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 152112 + ... + 158688.

It is an arithmetic number, because the mean of its divisors is an integer number (19372210).

Almost surely, 2^1022065800 is an apocalyptic number.

1022065800 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 1022065800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1859732160).

1022065800 is an abundant number, since it is smaller than the sum of its proper divisors (2697398520).

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

1022065800 is a wasteful number, since it uses less digits than its factorization.

1022065800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6640 (or 6631 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 1022065800 is about 31969.7638402288. The cubic root of 1022065800 is about 1007.3018203174.

The spelling of 1022065800 in words is "one billion, twenty-two million, sixty-five thousand, eight hundred".