1682468190 has 96 divisors (see below), whose sum is σ = 4790953440. Its totient is φ = 407109888.

The previous prime is 1682468173. The next prime is 1682468191. The reversal of 1682468190 is 918642861.

It is a super-2 number, since 2×1682468190² = 5661398420723752200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1682468191) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56844 + ... + 81216.

It is an arithmetic number, because the mean of its divisors is an integer number (49905765).

Almost surely, 2^1682468190 is an apocalyptic number.

1682468190 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 1682468190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2395476720).

1682468190 is an abundant number, since it is smaller than the sum of its proper divisors (3108485250).

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

1682468190 is a wasteful number, since it uses less digits than its factorization.

1682468190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24458 (or 24455 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 1682468190 is about 41017.9008482882. The cubic root of 1682468190 is about 1189.3662774586.

The spelling of 1682468190 in words is "one billion, six hundred eighty-two million, four hundred sixty-eight thousand, one hundred ninety".