1681437240 has 192 divisors, whose sum is σ = 6321369600. Its totient is φ = 379650816.

The previous prime is 1681437239. The next prime is 1681437257. The reversal of 1681437240 is 427341861.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1681437195 and 1681437204.

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, 205141 + ... + 213179.

It is an arithmetic number, because the mean of its divisors is an integer number (32923800).

Almost surely, 2^1681437240 is an apocalyptic number.

1681437240 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 1681437240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3160684800).

1681437240 is an abundant number, since it is smaller than the sum of its proper divisors (4639932360).

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

1681437240 is a wasteful number, since it uses less digits than its factorization.

1681437240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8146 (or 8139 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1681437240 is about 41005.3318484316. The cubic root of 1681437240 is about 1189.1232956086.

The spelling of 1681437240 in words is "one billion, six hundred eighty-one million, four hundred thirty-seven thousand, two hundred forty".