1682913960 has 384 divisors, whose sum is σ = 6881172480. Its totient is φ = 347203584.

The previous prime is 1682913949. The next prime is 1682913971. The reversal of 1682913960 is 693192861.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1682913949) and next prime (1682913971).

It is a hoax number, since the sum of its digits (45) 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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1539174 + ... + 1540266.

It is an arithmetic number, because the mean of its divisors is an integer number (17919720).

Almost surely, 2^1682913960 is an apocalyptic number.

1682913960 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 1682913960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3440586240).

1682913960 is an abundant number, since it is smaller than the sum of its proper divisors (5198258520).

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

1682913960 is a wasteful number, since it uses less digits than its factorization.

1682913960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 1682913960 is about 41023.3343354730. The cubic root of 1682913960 is about 1189.4713090607.

The spelling of 1682913960 in words is "one billion, six hundred eighty-two million, nine hundred thirteen thousand, nine hundred sixty".