1019225840 has 80 divisors (see below), whose sum is σ = 2406512640. Its totient is φ = 401414400.

The previous prime is 1019225827. The next prime is 1019225849. The reversal of 1019225840 is 485229101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1019225797 and 1019225806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1019225849) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1678817 + ... + 1679423.

It is an arithmetic number, because the mean of its divisors is an integer number (30081408).

Almost surely, 2^1019225840 is an apocalyptic number.

1019225840 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 1019225840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1203256320).

1019225840 is an abundant number, since it is smaller than the sum of its proper divisors (1387286800).

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

1019225840 is a wasteful number, since it uses less digits than its factorization.

1019225840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 1019225840 is about 31925.3165998397. The cubic root of 1019225840 is about 1006.3679761371.

The spelling of 1019225840 in words is "one billion, nineteen million, two hundred twenty-five thousand, eight hundred forty".