1644105632 has 96 divisors (see below), whose sum is σ = 3706601472. Its totient is φ = 711143424.

The previous prime is 1644105629. The next prime is 1644105641. The reversal of 1644105632 is 2365014461.

It is a super-3 number, since 3×1644105632³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2708273 + ... + 2708879.

It is an arithmetic number, because the mean of its divisors is an integer number (38610432).

Almost surely, 2^1644105632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1644105632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1853300736).

1644105632 is an abundant number, since it is smaller than the sum of its proper divisors (2062495840).

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

1644105632 is a wasteful number, since it uses less digits than its factorization.

1644105632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 1644105632 is about 40547.5724550805. The cubic root of 1644105632 is about 1180.2569659656.

The spelling of 1644105632 in words is "one billion, six hundred forty-four million, one hundred five thousand, six hundred thirty-two".