1632249120 has 96 divisors (see below), whose sum is σ = 5147295552. Its totient is φ = 434783232.

The previous prime is 1632249097. The next prime is 1632249139. The reversal of 1632249120 is 219422361.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 710694 + ... + 712986.

It is an arithmetic number, because the mean of its divisors is an integer number (53617662).

Almost surely, 2^1632249120 is an apocalyptic number.

1632249120 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 1632249120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2573647776).

1632249120 is an abundant number, since it is smaller than the sum of its proper divisors (3515046432).

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

1632249120 is a wasteful number, since it uses less digits than its factorization.

1632249120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3794 (or 3786 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 1632249120 is about 40401.1029552412. The cubic root of 1632249120 is about 1177.4129668228.

The spelling of 1632249120 in words is "one billion, six hundred thirty-two million, two hundred forty-nine thousand, one hundred twenty".