1632334080 has 288 divisors, whose sum is σ = 5913210240. Its totient is φ = 380436480.

The previous prime is 1632334057. The next prime is 1632334087. The reversal of 1632334080 is 804332361.

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

It is not an unprimeable number, because it can be changed into a prime (1632334087) 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 31 ways as a sum of consecutive naturals, for example, 947620 + ... + 949340.

It is an arithmetic number, because the mean of its divisors is an integer number (20531980).

Almost surely, 2^1632334080 is an apocalyptic number.

1632334080 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 1632334080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2956605120).

1632334080 is an abundant number, since it is smaller than the sum of its proper divisors (4280876160).

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

1632334080 is a wasteful number, since it uses less digits than its factorization.

1632334080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1777 (or 1763 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 1632334080 is about 40402.1543980021. The cubic root of 1632334080 is about 1177.4333949280.

It can be divided in two parts, 16323 and 34080, that added together give a triangular number (50403 = T₃₁₇).

The spelling of 1632334080 in words is "one billion, six hundred thirty-two million, three hundred thirty-four thousand, eighty".