1987638912 has 448 divisors, whose sum is σ = 7224292800. Its totient is φ = 531505152.

The previous prime is 1987638911. The next prime is 1987638941. The reversal of 1987638912 is 2198367891.

1987638912 is a `hidden beast` number, since 198 + 76 + 389 + 1 + 2 = 666.

1987638912 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is not an unprimeable number, because it can be changed into a prime (1987638911) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 11104039 + ... + 11104217.

Almost surely, 2^1987638912 is an apocalyptic number.

1987638912 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 1987638912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3612146400).

1987638912 is an abundant number, since it is smaller than the sum of its proper divisors (5236653888).

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

1987638912 is an equidigital number, since it uses as much as digits as its factorization.

1987638912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 208 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 54.

The square root of 1987638912 is about 44582.9441827253. The cubic root of 1987638912 is about 1257.3200180866.

The spelling of 1987638912 in words is "one billion, nine hundred eighty-seven million, six hundred thirty-eight thousand, nine hundred twelve".