1687790520 has 576 divisors, whose sum is σ = 6640189920. Its totient is φ = 382952448.

The previous prime is 1687790519. The next prime is 1687790527. The reversal of 1687790520 is 250977861.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1687790527) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 45615942 + ... + 45615978.

Almost surely, 2^1687790520 is an apocalyptic number.

1687790520 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 1687790520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3320094960).

1687790520 is an abundant number, since it is smaller than the sum of its proper divisors (4952399400).

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

1687790520 is a wasteful number, since it uses less digits than its factorization.

1687790520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 1687790520 is about 41082.7277575382. The cubic root of 1687790520 is about 1190.6191067970.

The spelling of 1687790520 in words is "one billion, six hundred eighty-seven million, seven hundred ninety thousand, five hundred twenty".