1641006432 has 192 divisors, whose sum is σ = 5187994560. Its totient is φ = 501645312.

The previous prime is 1641006431. The next prime is 1641006449. The reversal of 1641006432 is 2346001461.

1641006432 is a `hidden beast` number, since 1 + 6 + 4 + 10 + 0 + 643 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1641006396 and 1641006405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1641006431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2167398 + ... + 2168154.

It is an arithmetic number, because the mean of its divisors is an integer number (27020805).

Almost surely, 2^1641006432 is an apocalyptic number.

1641006432 is a gapful number since it is divisible by the number (12) 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 1641006432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2593997280).

1641006432 is an abundant number, since it is smaller than the sum of its proper divisors (3546988128).

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

1641006432 is a wasteful number, since it uses less digits than its factorization.

1641006432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1641006432 is about 40509.3375902396. The cubic root of 1641006432 is about 1179.5148901274.

Adding to 1641006432 its reverse (2346001461), we get a palindrome (3987007893).

The spelling of 1641006432 in words is "one billion, six hundred forty-one million, six thousand, four hundred thirty-two".