1980364032 has 144 divisors (see below), whose sum is σ = 6111396480. Its totient is φ = 631369728.

The previous prime is 1980363961. The next prime is 1980364033. The reversal of 1980364032 is 2304630891.

1980364032 is a `hidden beast` number, since 1 + 9 + 8 + 0 + 3 + 640 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1980364033) 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 15 ways as a sum of consecutive naturals, for example, 152748 + ... + 165204.

Almost surely, 2^1980364032 is an apocalyptic number.

1980364032 is a gapful number since it is divisible by the number (12) 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 1980364032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3055698240).

1980364032 is an abundant number, since it is smaller than the sum of its proper divisors (4131032448).

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

1980364032 is a wasteful number, since it uses less digits than its factorization.

1980364032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12505 (or 12485 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1980364032 is about 44501.2812399823. The cubic root of 1980364032 is about 1255.7841867558.

The spelling of 1980364032 in words is "one billion, nine hundred eighty million, three hundred sixty-four thousand, thirty-two".