1640023000 has 384 divisors, whose sum is σ = 5135270400. Its totient is φ = 476064000.

The previous prime is 1640022991. The next prime is 1640023069. The reversal of 1640023000 is 3200461.

It is a super-3 number, since 3×1640023000³ (a number of 29 digits) contains 333 as substring.

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 95 ways as a sum of consecutive naturals, for example, 27796971 + ... + 27797029.

It is an arithmetic number, because the mean of its divisors is an integer number (13373100).

Almost surely, 2^1640023000 is an apocalyptic number.

1640023000 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 1640023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2567635200).

1640023000 is an abundant number, since it is smaller than the sum of its proper divisors (3495247400).

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

1640023000 is a wasteful number, since it uses less digits than its factorization.

1640023000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1640023000 is about 40497.1974338966. The cubic root of 1640023000 is about 1179.2792208332.

Adding to 1640023000 its reverse (3200461), we get a palindrome (1643223461).

The spelling of 1640023000 in words is "one billion, six hundred forty million, twenty-three thousand".