1638087360 has 448 divisors, whose sum is σ = 6783823872. Its totient is φ = 324993024.

The previous prime is 1638087329. The next prime is 1638087371. The reversal of 1638087360 is 637808361.

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 (42).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1484569 + ... + 1485671.

It is an arithmetic number, because the mean of its divisors is an integer number (15142464).

Almost surely, 2^1638087360 is an apocalyptic number.

1638087360 is a gapful number since it is divisible by the number (10) 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 1638087360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3391911936).

1638087360 is an abundant number, since it is smaller than the sum of its proper divisors (5145736512).

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

1638087360 is a wasteful number, since it uses less digits than its factorization.

1638087360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 1638087360 is about 40473.2919343114. The cubic root of 1638087360 is about 1178.8150894037.

It can be divided in two parts, 16380 and 87360, that added together give a triangular number (103740 = T₄₅₅).

The spelling of 1638087360 in words is "one billion, six hundred thirty-eight million, eighty-seven thousand, three hundred sixty".