1006823040 has 64 divisors (see below), whose sum is σ = 3209254560. Its totient is φ = 268485632.

The previous prime is 1006823017. The next prime is 1006823063. The reversal of 1006823040 is 403286001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1006823017) and next prime (1006823063).

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1006823040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 260274 + ... + 264113.

Almost surely, 2^1006823040 is an apocalyptic number.

1006823040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1006823040 is an abundant number, since it is smaller than the sum of its proper divisors (2202431520).

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

1006823040 is an equidigital number, since it uses as much as digits as its factorization.

1006823040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524409 (or 524397 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1006823040 is about 31730.4749412926. The cubic root of 1006823040 is about 1002.2691935325.

The spelling of 1006823040 in words is "one billion, six million, eight hundred twenty-three thousand, forty".