1679811840 has 432 divisors, whose sum is σ = 6833893248. Its totient is φ = 372916224.

The previous prime is 1679811829. The next prime is 1679811883. The reversal of 1679811840 is 481189761.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2983399 + ... + 2983961.

Almost surely, 2^1679811840 is an apocalyptic number.

1679811840 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 1679811840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3416946624).

1679811840 is an abundant number, since it is smaller than the sum of its proper divisors (5154081408).

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

1679811840 is a wasteful number, since it uses less digits than its factorization.

1679811840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The square root of 1679811840 is about 40985.5076825943. The cubic root of 1679811840 is about 1188.7400076117.

The spelling of 1679811840 in words is "one billion, six hundred seventy-nine million, eight hundred eleven thousand, eight hundred forty".