1686769920 has 864 divisors, whose sum is σ = 7231835520. Its totient is φ = 371589120.

The previous prime is 1686769831. The next prime is 1686769927. The reversal of 1686769920 is 299676861.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is not an unprimeable number, because it can be changed into a prime (1686769927) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58164466 + ... + 58164494.

It is an arithmetic number, because the mean of its divisors is an integer number (8370180).

Almost surely, 2^1686769920 is an apocalyptic number.

1686769920 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 1686769920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3615917760).

1686769920 is an abundant number, since it is smaller than the sum of its proper divisors (5545065600).

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

1686769920 is a wasteful number, since it uses less digits than its factorization.

1686769920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 1686769920 is about 41070.3046007696. The cubic root of 1686769920 is about 1190.3790709120.

The spelling of 1686769920 in words is "one billion, six hundred eighty-six million, seven hundred sixty-nine thousand, nine hundred twenty".