1677681920 has 144 divisors (see below), whose sum is σ = 4167797760. Its totient is φ = 646643712.

The previous prime is 1677681917. The next prime is 1677681947. The reversal of 1677681920 is 291867761.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4752464 + ... + 4752816.

It is an arithmetic number, because the mean of its divisors is an integer number (28943040).

Almost surely, 2^1677681920 is an apocalyptic number.

1677681920 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 1677681920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2083898880).

1677681920 is an abundant number, since it is smaller than the sum of its proper divisors (2490115840).

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

1677681920 is an equidigital number, since it uses as much as digits as its factorization.

1677681920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 47.

The square root of 1677681920 is about 40959.5156221360. The cubic root of 1677681920 is about 1188.2373735411.

The spelling of 1677681920 in words is "one billion, six hundred seventy-seven million, six hundred eighty-one thousand, nine hundred twenty".