1387287216 has 120 divisors (see below), whose sum is σ = 4632225840. Its totient is φ = 396361728.

The previous prime is 1387287157. The next prime is 1387287221. The reversal of 1387287216 is 6127827831.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11601 + ... + 53936.

It is an arithmetic number, because the mean of its divisors is an integer number (38601882).

Almost surely, 2^1387287216 is an apocalyptic number.

1387287216 is a gapful number since it is divisible by the number (16) 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 1387287216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2316112920).

1387287216 is an abundant number, since it is smaller than the sum of its proper divisors (3244938624).

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

1387287216 is a wasteful number, since it uses less digits than its factorization.

1387287216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65568 (or 65549 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The square root of 1387287216 is about 37246.3047294628. The cubic root of 1387287216 is about 1115.2925334577.

The spelling of 1387287216 in words is "one billion, three hundred eighty-seven million, two hundred eighty-seven thousand, two hundred sixteen".