1022769384 has 128 divisors (see below), whose sum is σ = 3162378240. Its totient is φ = 268422912.

The previous prime is 1022769383. The next prime is 1022769389. The reversal of 1022769384 is 4839672201.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (1022769383) 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 31 ways as a sum of consecutive naturals, for example, 494737 + ... + 496799.

It is an arithmetic number, because the mean of its divisors is an integer number (24706080).

Almost surely, 2^1022769384 is an apocalyptic number.

1022769384 is a gapful number since it is divisible by the number (14) 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 1022769384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1581189120).

1022769384 is an abundant number, since it is smaller than the sum of its proper divisors (2139608856).

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

1022769384 is a wasteful number, since it uses less digits than its factorization.

1022769384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2319 (or 2315 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 1022769384 is about 31980.7658444885. The cubic root of 1022769384 is about 1007.5329074873.

The spelling of 1022769384 in words is "one billion, twenty-two million, seven hundred sixty-nine thousand, three hundred eighty-four".