1987693344 has 432 divisors, whose sum is σ = 7353283392. Its totient is φ = 514335744.

The previous prime is 1987693289. The next prime is 1987693349. The reversal of 1987693344 is 4433967891.

It is a happy number.

1987693344 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 (432).

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1987693349) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 37503622 + ... + 37503674.

Almost surely, 2^1987693344 is an apocalyptic number.

1987693344 is a gapful number since it is divisible by the number (14) 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 1987693344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3676641696).

1987693344 is an abundant number, since it is smaller than the sum of its proper divisors (5365590048).

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

1987693344 is an equidigital number, since it uses as much as digits as its factorization.

1987693344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 78 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The square root of 1987693344 is about 44583.5546362109. The cubic root of 1987693344 is about 1257.3314953253.

The spelling of 1987693344 in words is "one billion, nine hundred eighty-seven million, six hundred ninety-three thousand, three hundred forty-four".