1682681520 has 80 divisors (see below), whose sum is σ = 5617577952. Its totient is φ = 414197760.

The previous prime is 1682681503. The next prime is 1682681537. The reversal of 1682681520 is 251862861.

It is an interprime number because it is at equal distance from previous prime (1682681503) and next prime (1682681537).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 266541 + ... + 272780.

Almost surely, 2^1682681520 is an apocalyptic number.

1682681520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1682681520 is an abundant number, since it is smaller than the sum of its proper divisors (3934896432).

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

1682681520 is a wasteful number, since it uses less digits than its factorization.

1682681520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539350 (or 539344 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 1682681520 is about 41020.5012158555. The cubic root of 1682681520 is about 1189.4165442405.

It can be divided in two parts, 16826 and 81520, that added together give a triangular number (98346 = T₄₄₃).

The spelling of 1682681520 in words is "one billion, six hundred eighty-two million, six hundred eighty-one thousand, five hundred twenty".