1653885632 has 140 divisors (see below), whose sum is σ = 3927226080. Its totient is φ = 690697728.

The previous prime is 1653885589. The next prime is 1653885641. The reversal of 1653885632 is 2365883561.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7222094 + ... + 7222322.

Almost surely, 2^1653885632 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 1653885632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1963613040).

1653885632 is an abundant number, since it is smaller than the sum of its proper divisors (2273340448).

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

1653885632 is an frugal number, since it uses more digits than its factorization.

1653885632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 285 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 47.

The square root of 1653885632 is about 40667.9927215495. The cubic root of 1653885632 is about 1182.5926027360.

The spelling of 1653885632 in words is "one billion, six hundred fifty-three million, eight hundred eighty-five thousand, six hundred thirty-two".