1620432000 has 768 divisors, whose sum is σ = 6772147200. Its totient is φ = 380160000.

The previous prime is 1620431977. The next prime is 1620432001. The reversal of 1620432000 is 2340261.

It is a happy number.

1620432000 is a `hidden beast` number, since 1 + 620 + 43 + 2 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1620432001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52271985 + ... + 52272015.

It is an arithmetic number, because the mean of its divisors is an integer number (8817900).

Almost surely, 2^1620432000 is an apocalyptic number.

1620432000 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 1620432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3386073600).

1620432000 is an abundant number, since it is smaller than the sum of its proper divisors (5151715200).

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

1620432000 is a wasteful number, since it uses less digits than its factorization.

1620432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1620432000 is about 40254.5898004190. The cubic root of 1620432000 is about 1174.5646795428.

Adding to 1620432000 its reverse (2340261), we get a palindrome (1622772261).

The spelling of 1620432000 in words is "one billion, six hundred twenty million, four hundred thirty-two thousand".