1685642400 has 864 divisors, whose sum is σ = 7165791360. Its totient is φ = 383201280.

The previous prime is 1685642359. The next prime is 1685642401. The reversal of 1685642400 is 42465861.

1685642400 is a `hidden beast` number, since 1 + 6 + 8 + 5 + 642 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1685642401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 58125586 + ... + 58125614.

It is an arithmetic number, because the mean of its divisors is an integer number (8293740).

It is a vampire number, since it can be written as 26100 ⋅ 64584 (with its own digits).

Almost surely, 2^1685642400 is an apocalyptic number.

1685642400 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 1685642400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3582895680).

1685642400 is an abundant number, since it is smaller than the sum of its proper divisors (5480148960).

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

1685642400 is a wasteful number, since it uses less digits than its factorization.

1685642400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 1685642400 is about 41056.5756000181. The cubic root of 1685642400 is about 1190.1137758127.

The spelling of 1685642400 in words is "one billion, six hundred eighty-five million, six hundred forty-two thousand, four hundred".