1640583480 has 128 divisors (see below), whose sum is σ = 4983897600. Its totient is φ = 432010752.

The previous prime is 1640583479. The next prime is 1640583493. The reversal of 1640583480 is 843850461.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 6237829 + ... + 6238091.

It is an arithmetic number, because the mean of its divisors is an integer number (38936700).

Almost surely, 2^1640583480 is an apocalyptic number.

1640583480 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 1640583480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2491948800).

1640583480 is an abundant number, since it is smaller than the sum of its proper divisors (3343314120).

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

1640583480 is a wasteful number, since it uses less digits than its factorization.

1640583480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 1640583480 is about 40504.1168277991. The cubic root of 1640583480 is about 1179.4135456032.

The spelling of 1640583480 in words is "one billion, six hundred forty million, five hundred eighty-three thousand, four hundred eighty".