1645832160 has 576 divisors, whose sum is σ = 6944071680. Its totient is φ = 346705920.

The previous prime is 1645832131. The next prime is 1645832179. The reversal of 1645832160 is 612385461.

It is a happy number.

1645832160 is a `hidden beast` number, since 1 + 64 + 583 + 2 + 16 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7186926 + ... + 7187154.

It is an arithmetic number, because the mean of its divisors is an integer number (12055680).

Almost surely, 2^1645832160 is an apocalyptic number.

1645832160 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 1645832160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3472035840).

1645832160 is an abundant number, since it is smaller than the sum of its proper divisors (5298239520).

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

1645832160 is a wasteful number, since it uses less digits than its factorization.

1645832160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1645832160 is about 40568.8570211190. The cubic root of 1645832160 is about 1180.6699633169.

The spelling of 1645832160 in words is "one billion, six hundred forty-five million, eight hundred thirty-two thousand, one hundred sixty".