1689967920 has 160 divisors (see below), whose sum is σ = 5533217280. Its totient is φ = 425502720.

The previous prime is 1689967919. The next prime is 1689967927. The reversal of 1689967920 is 297699861.

1689967920 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (1689967927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2220340 + ... + 2221100.

It is an arithmetic number, because the mean of its divisors is an integer number (34582608).

Almost surely, 2^1689967920 is an apocalyptic number.

1689967920 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 1689967920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2766608640).

1689967920 is an abundant number, since it is smaller than the sum of its proper divisors (3843249360).

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

1689967920 is a wasteful number, since it uses less digits than its factorization.

1689967920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1283 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 57.

The square root of 1689967920 is about 41109.2194039245. The cubic root of 1689967920 is about 1191.1308883202.

The spelling of 1689967920 in words is "one billion, six hundred eighty-nine million, nine hundred sixty-seven thousand, nine hundred twenty".