1681658320 has 40 divisors (see below), whose sum is σ = 3911792040. Its totient is φ = 672330240.

The previous prime is 1681658311. The next prime is 1681658339. The reversal of 1681658320 is 238561861.

It can be written as a sum of positive squares in 4 ways, for example, as 379314576 + 1302343744 = 19476^2 + 36088^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 215446 + ... + 223114.

It is an arithmetic number, because the mean of its divisors is an integer number (97794801).

Almost surely, 2^1681658320 is an apocalyptic number.

1681658320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1681658320 is an abundant number, since it is smaller than the sum of its proper divisors (2230133720).

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

1681658320 is a wasteful number, since it uses less digits than its factorization.

1681658320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10423 (or 10417 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The square root of 1681658320 is about 41008.0275068187. The cubic root of 1681658320 is about 1189.1754097268.

The spelling of 1681658320 in words is "one billion, six hundred eighty-one million, six hundred fifty-eight thousand, three hundred twenty".