1640407100 has 18 divisors (see below), whose sum is σ = 3559683624. Its totient is φ = 656162800.

The previous prime is 1640407091. The next prime is 1640407117. The reversal of 1640407100 is 17040461.

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 5 ways as a sum of consecutive naturals, for example, 8201936 + ... + 8202135.

Almost surely, 2^1640407100 is an apocalyptic number.

1640407100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1640407100 is an abundant number, since it is smaller than the sum of its proper divisors (1919276524).

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

1640407100 is a wasteful number, since it uses less digits than its factorization.

1640407100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16404085 (or 16404078 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 1640407100 is about 40501.9394597345. The cubic root of 1640407100 is about 1179.3712776299.

Adding to 1640407100 its reverse (17040461), we get a palindrome (1657447561).

The spelling of 1640407100 in words is "one billion, six hundred forty million, four hundred seven thousand, one hundred".