1632084480 has 240 divisors, whose sum is σ = 6088282200. Its totient is φ = 401670144.

The previous prime is 1632084469. The next prime is 1632084523. The reversal of 1632084480 is 844802361.

1632084480 is a `hidden beast` number, since 1 + 6 + 3 + 208 + 448 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 649638144 + 982446336 = 25488^2 + 31344^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 296796 + ... + 302244.

Almost surely, 2^1632084480 is an apocalyptic number.

1632084480 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 1632084480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3044141100).

1632084480 is an abundant number, since it is smaller than the sum of its proper divisors (4456197720).

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

1632084480 is a wasteful number, since it uses less digits than its factorization.

1632084480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5491 (or 5472 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 1632084480 is about 40399.0653357228. The cubic root of 1632084480 is about 1177.3733781378.

The spelling of 1632084480 in words is "one billion, six hundred thirty-two million, eighty-four thousand, four hundred eighty".