1632654320 has 80 divisors (see below), whose sum is σ = 4179241440. Its totient is φ = 588211200.

The previous prime is 1632654319. The next prime is 1632654329. The reversal of 1632654320 is 234562361.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1632654320² = 5331120257229324800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1632654329) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 87410 + ... + 104430.

It is an arithmetic number, because the mean of its divisors is an integer number (52240518).

Almost surely, 2^1632654320 is an apocalyptic number.

1632654320 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 1632654320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2089620720).

1632654320 is an abundant number, since it is smaller than the sum of its proper divisors (2546587120).

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

1632654320 is a wasteful number, since it uses less digits than its factorization.

1632654320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17154 (or 17148 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The square root of 1632654320 is about 40406.1173586377. The cubic root of 1632654320 is about 1177.5103882796.

The spelling of 1632654320 in words is "one billion, six hundred thirty-two million, six hundred fifty-four thousand, three hundred twenty".