1006485040 has 80 divisors (see below), whose sum is σ = 2562648480. Its totient is φ = 364584960.

The previous prime is 1006485031. The next prime is 1006485041. The reversal of 1006485040 is 405846001.

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

It is not an unprimeable number, because it can be changed into a prime (1006485041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 241696 + ... + 245824.

It is an arithmetic number, because the mean of its divisors is an integer number (32033106).

Almost surely, 2^1006485040 is an apocalyptic number.

1006485040 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 1006485040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1281324240).

1006485040 is an abundant number, since it is smaller than the sum of its proper divisors (1556163440).

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

1006485040 is a wasteful number, since it uses less digits than its factorization.

1006485040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4430 (or 4424 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 1006485040 is about 31725.1483842078. The cubic root of 1006485040 is about 1002.1570239025.

The spelling of 1006485040 in words is "one billion, six million, four hundred eighty-five thousand, forty".