1687960638 has 96 divisors (see below), whose sum is σ = 4514764800. Its totient is φ = 443838528.

The previous prime is 1687960613. The next prime is 1687960643. The reversal of 1687960638 is 8360697861.

It is a happy number.

It is a super-2 number, since 2×1687960638² = 5698422230874734088, which contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 619443 + ... + 622161.

It is an arithmetic number, because the mean of its divisors is an integer number (47028800).

Almost surely, 2^1687960638 is an apocalyptic number.

1687960638 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1687960638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2257382400).

1687960638 is an abundant number, since it is smaller than the sum of its proper divisors (2826804162).

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

1687960638 is a wasteful number, since it uses less digits than its factorization.

1687960638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3126 (or 3123 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 1687960638 is about 41084.7981375107. The cubic root of 1687960638 is about 1190.6591076017.

The spelling of 1687960638 in words is "one billion, six hundred eighty-seven million, nine hundred sixty thousand, six hundred thirty-eight".