1682861400 has 384 divisors, whose sum is σ = 6487084800. Its totient is φ = 397440000.

The previous prime is 1682861357. The next prime is 1682861413. The reversal of 1682861400 is 41682861.

1682861400 is a `hidden beast` number, since 16 + 8 + 28 + 614 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 2435055 + ... + 2435745.

It is an arithmetic number, because the mean of its divisors is an integer number (16893450).

Almost surely, 2^1682861400 is an apocalyptic number.

1682861400 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 1682861400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3243542400).

1682861400 is an abundant number, since it is smaller than the sum of its proper divisors (4804223400).

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

1682861400 is a wasteful number, since it uses less digits than its factorization.

1682861400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1682861400 is about 41022.6937194524. The cubic root of 1682861400 is about 1189.4589259236.

The spelling of 1682861400 in words is "one billion, six hundred eighty-two million, eight hundred sixty-one thousand, four hundred".