1682946090 has 192 divisors, whose sum is σ = 5355417600. Its totient is φ = 358100352.

The previous prime is 1682946053. The next prime is 1682946091. The reversal of 1682946090 is 906492861.

It is a happy number.

1682946090 is a `hidden beast` number, since 16 + 8 + 29 + 4 + 609 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1682946091) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 705039 + ... + 707421.

It is an arithmetic number, because the mean of its divisors is an integer number (27892800).

Almost surely, 2^1682946090 is an apocalyptic number.

1682946090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1682946090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2677708800).

1682946090 is an abundant number, since it is smaller than the sum of its proper divisors (3672471510).

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

1682946090 is a wasteful number, since it uses less digits than its factorization.

1682946090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2481 (or 2478 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 1682946090 is about 41023.7259399972. The cubic root of 1682946090 is about 1189.4788787624.

The spelling of 1682946090 in words is "one billion, six hundred eighty-two million, nine hundred forty-six thousand, ninety".