1632740960 has 72 divisors (see below), whose sum is σ = 3949858080. Its totient is φ = 637792512.

The previous prime is 1632740933. The next prime is 1632740971. The reversal of 1632740960 is 690472361.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 293081 + ... + 298599.

It is an arithmetic number, because the mean of its divisors is an integer number (54859140).

Almost surely, 2^1632740960 is an apocalyptic number.

1632740960 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 1632740960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1974929040).

1632740960 is an abundant number, since it is smaller than the sum of its proper divisors (2317117120).

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

1632740960 is an equidigital number, since it uses as much as digits as its factorization.

1632740960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5620 (or 5569 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 38.

The square root of 1632740960 is about 40407.1894593029. The cubic root of 1632740960 is about 1177.5312168764.

The spelling of 1632740960 in words is "one billion, six hundred thirty-two million, seven hundred forty thousand, nine hundred sixty".