1632408680 has 128 divisors (see below), whose sum is σ = 4466119680. Its totient is φ = 524206080.

The previous prime is 1632408671. The next prime is 1632408721. The reversal of 1632408680 is 868042361.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1146449 + ... + 1147871.

It is an arithmetic number, because the mean of its divisors is an integer number (34891560).

Almost surely, 2^1632408680 is an apocalyptic number.

1632408680 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 1632408680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2233059840).

1632408680 is an abundant number, since it is smaller than the sum of its proper divisors (2833711000).

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

1632408680 is a wasteful number, since it uses less digits than its factorization.

1632408680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1699 (or 1695 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The square root of 1632408680 is about 40403.0776055488. The cubic root of 1632408680 is about 1177.4513314510.

The spelling of 1632408680 in words is "one billion, six hundred thirty-two million, four hundred eight thousand, six hundred eighty".