1000823040 has 540 divisors, whose sum is σ = 4186947996. Its totient is φ = 227598336.

The previous prime is 1000823023. The next prime is 1000823041. The reversal of 1000823040 is 403280001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 740710656 + 260112384 = 27216^2 + 16128^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000823041) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5080222 + ... + 5080418.

Almost surely, 2^1000823040 is an apocalyptic number.

1000823040 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 1000823040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2093473998).

1000823040 is an abundant number, since it is smaller than the sum of its proper divisors (3186124956).

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

1000823040 is an equidigital number, since it uses as much as digits as its factorization.

1000823040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1000823040 is about 31635.7873301740. The cubic root of 1000823040 is about 1000.2742714350.

The spelling of 1000823040 in words is "one billion, eight hundred twenty-three thousand, forty".