1682672376 has 256 divisors, whose sum is σ = 5847552000. Its totient is φ = 389560320.

The previous prime is 1682672339. The next prime is 1682672399. The reversal of 1682672376 is 6732762861.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 595495 + ... + 598313.

It is an arithmetic number, because the mean of its divisors is an integer number (22842000).

Almost surely, 2^1682672376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1682672376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2923776000).

1682672376 is an abundant number, since it is smaller than the sum of its proper divisors (4164879624).

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

1682672376 is a wasteful number, since it uses less digits than its factorization.

1682672376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2882 (or 2878 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 48.

The square root of 1682672376 is about 41020.3897592405. The cubic root of 1682672376 is about 1189.4143897341.

The spelling of 1682672376 in words is "one billion, six hundred eighty-two million, six hundred seventy-two thousand, three hundred seventy-six".