1632960000 has 700 divisors, whose sum is σ = 6986132472. Its totient is φ = 373248000.

The previous prime is 1632959953. The next prime is 1632960001. The reversal of 1632960000 is 692361.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (700).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1632960001) 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 69 ways as a sum of consecutive naturals, for example, 233279997 + ... + 233280003.

Almost surely, 2^1632960000 is an apocalyptic number.

1632960000 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 1632960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3493066236).

1632960000 is an abundant number, since it is smaller than the sum of its proper divisors (5353172472).

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

1632960000 is an frugal number, since it uses more digits than its factorization.

1632960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 1632960000 is about 40409.8997771586. The cubic root of 1632960000 is about 1177.5838716679.

The spelling of 1632960000 in words is "one billion, six hundred thirty-two million, nine hundred sixty thousand".