1681877490 has 128 divisors (see below), whose sum is σ = 4404989952. Its totient is φ = 409328640.

The previous prime is 1681877489. The next prime is 1681877497. The reversal of 1681877490 is 947781861.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (1681877497) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5942889 + ... + 5943171.

It is an arithmetic number, because the mean of its divisors is an integer number (34413984).

Almost surely, 2^1681877490 is an apocalyptic number.

1681877490 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1681877490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2202494976).

1681877490 is an abundant number, since it is smaller than the sum of its proper divisors (2723112462).

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

1681877490 is a wasteful number, since it uses less digits than its factorization.

1681877490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624.

The product of its (nonzero) digits is 677376, while the sum is 51.

The square root of 1681877490 is about 41010.6997014194. The cubic root of 1681877490 is about 1189.2270691017.

The spelling of 1681877490 in words is "one billion, six hundred eighty-one million, eight hundred seventy-seven thousand, four hundred ninety".