1681680528 has 320 divisors, whose sum is σ = 5666423040. Its totient is φ = 477757440.

The previous prime is 1681680527. The next prime is 1681680547. The reversal of 1681680528 is 8250861861.

1681680528 is a `hidden beast` number, since 1 + 68 + 1 + 68 + 0 + 528 = 666.

It is not an unprimeable number, because it can be changed into a prime (1681680527) 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, 6543376 + ... + 6543632.

It is an arithmetic number, because the mean of its divisors is an integer number (17707572).

Almost surely, 2^1681680528 is an apocalyptic number.

1681680528 is a gapful number since it is divisible by the number (18) 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 1681680528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2833211520).

1681680528 is an abundant number, since it is smaller than the sum of its proper divisors (3984742512).

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

1681680528 is a wasteful number, since it uses less digits than its factorization.

1681680528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The square root of 1681680528 is about 41008.2982821770. The cubic root of 1681680528 is about 1189.1806444587.

It can be divided in two parts, 16816 and 80528, that added together give a square (97344 = 312²).

The spelling of 1681680528 in words is "one billion, six hundred eighty-one million, six hundred eighty thousand, five hundred twenty-eight".