1632405960 has 448 divisors, whose sum is σ = 6055657200. Its totient is φ = 394149888.

The previous prime is 1632405959. The next prime is 1632406007. The reversal of 1632405960 is 695042361.

It is a happy number.

1632405960 is a `hidden beast` number, since 1 + 63 + 2 + 4 + 0 + 596 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1039288644 + 593117316 = 32238^2 + 24354^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 18341596 + ... + 18341684.

Almost surely, 2^1632405960 is an apocalyptic number.

1632405960 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 1632405960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3027828600).

1632405960 is an abundant number, since it is smaller than the sum of its proper divisors (4423251240).

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

1632405960 is a wasteful number, since it uses less digits than its factorization.

1632405960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 1632405960 is about 40403.0439447327. The cubic root of 1632405960 is about 1177.4506774748.

The spelling of 1632405960 in words is "one billion, six hundred thirty-two million, four hundred five thousand, nine hundred sixty".