1687374936 has 256 divisors, whose sum is σ = 5266800000. Its totient is φ = 497166336.

The previous prime is 1687374907. The next prime is 1687374937. The reversal of 1687374936 is 6394737861.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1687374937) by changing a digit.

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, 11324590 + ... + 11324738.

Almost surely, 2^1687374936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1687374936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2633400000).

1687374936 is an abundant number, since it is smaller than the sum of its proper divisors (3579425064).

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

1687374936 is a wasteful number, since it uses less digits than its factorization.

1687374936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 313 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 54.

The square root of 1687374936 is about 41077.6695541507. The cubic root of 1687374936 is about 1190.5213768829.

It can be divided in two parts, 16873 and 74936, that added together give a square (91809 = 303²).

The spelling of 1687374936 in words is "one billion, six hundred eighty-seven million, three hundred seventy-four thousand, nine hundred thirty-six".