1682901120 has 128 divisors (see below), whose sum is σ = 5438183040. Its totient is φ = 442589184.

The previous prime is 1682901119. The next prime is 1682901131. The reversal of 1682901120 is 211092861.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 134157 + ... + 146163.

It is an arithmetic number, because the mean of its divisors is an integer number (42485805).

Almost surely, 2^1682901120 is an apocalyptic number.

1682901120 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 1682901120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2719091520).

1682901120 is an abundant number, since it is smaller than the sum of its proper divisors (3755281920).

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

1682901120 is a wasteful number, since it uses less digits than its factorization.

1682901120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12102 (or 12090 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The square root of 1682901120 is about 41023.1778388754. The cubic root of 1682901120 is about 1189.4682839802.

Adding to 1682901120 its reverse (211092861), we get a palindrome (1893993981).

The spelling of 1682901120 in words is "one billion, six hundred eighty-two million, nine hundred one thousand, one hundred twenty".