1645533120 has 448 divisors, whose sum is σ = 6604747776. Its totient is φ = 337182720.

The previous prime is 1645533119. The next prime is 1645533143. The reversal of 1645533120 is 213355461.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 63 ways as a sum of consecutive naturals, for example, 8352862 + ... + 8353058.

Almost surely, 2^1645533120 is an apocalyptic number.

1645533120 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 1645533120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3302373888).

1645533120 is an abundant number, since it is smaller than the sum of its proper divisors (4959214656).

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

1645533120 is a wasteful number, since it uses less digits than its factorization.

1645533120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 1645533120 is about 40565.1712679732. The cubic root of 1645533120 is about 1180.5984515836.

Adding to 1645533120 its reverse (213355461), we get a palindrome (1858888581).

The spelling of 1645533120 in words is "one billion, six hundred forty-five million, five hundred thirty-three thousand, one hundred twenty".