1681512 has 32 divisors (see below), whose sum is σ = 4804800. Its totient is φ = 480384.

The previous prime is 1681501. The next prime is 1681513. The reversal of 1681512 is 2151861.

It is a super-3 number, since 3×1681512³ = 14263337796067229184, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

1681512 is a modest number, since divided by 1512 gives 168 as remainder.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (1681513) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4837 + ... + 5172.

It is an arithmetic number, because the mean of its divisors is an integer number (150150).

2^1681512 is an apocalyptic number.

1681512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1681512 is an abundant number, since it is smaller than the sum of its proper divisors (3123288).

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

1681512 is a wasteful number, since it uses less digits than its factorization.

1681512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10025 (or 10021 counting only the distinct ones).

The product of its digits is 480, while the sum is 24.

The square root of 1681512 is about 1296.7312751685. The cubic root of 1681512 is about 118.9140918933.

It can be divided in two parts, 168 and 1512, that multiplied together give a square (254016 = 504²).

The spelling of 1681512 in words is "one million, six hundred eighty-one thousand, five hundred twelve".