1987124832 has 576 divisors, whose sum is σ = 7818612480. Its totient is φ = 483840000.

The previous prime is 1987124807. The next prime is 1987124833. The reversal of 1987124832 is 2384217891.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1987124833) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7916707 + ... + 7916957.

It is an arithmetic number, because the mean of its divisors is an integer number (13573980).

Almost surely, 2^1987124832 is an apocalyptic number.

1987124832 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 1987124832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3909306240).

1987124832 is an abundant number, since it is smaller than the sum of its proper divisors (5831487648).

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

1987124832 is a wasteful number, since it uses less digits than its factorization.

1987124832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 291 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 1987124832 is about 44577.1783763845. The cubic root of 1987124832 is about 1257.2116116076.

The spelling of 1987124832 in words is "one billion, nine hundred eighty-seven million, one hundred twenty-four thousand, eight hundred thirty-two".