1687061376 has 864 divisors, whose sum is σ = 7036684200. Its totient is φ = 383201280.

The previous prime is 1687061371. The next prime is 1687061377. The reversal of 1687061376 is 6731607861.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1687061371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 88792695 + ... + 88792713.

Almost surely, 2^1687061376 is an apocalyptic number.

1687061376 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 1687061376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3518342100).

1687061376 is an abundant number, since it is smaller than the sum of its proper divisors (5349622824).

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

1687061376 is a wasteful number, since it uses less digits than its factorization.

1687061376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 1687061376 is about 41073.8527046100. The cubic root of 1687061376 is about 1190.4476286007.

The spelling of 1687061376 in words is "one billion, six hundred eighty-seven million, sixty-one thousand, three hundred seventy-six".