1684670400 has 504 divisors, whose sum is σ = 7108017280. Its totient is φ = 384445440.

The previous prime is 1684670399. The next prime is 1684670401. The reversal of 1684670400 is 40764861.

It is an interprime number because it is at equal distance from previous prime (1684670399) and next prime (1684670401).

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×1684670400² = 5676228713272320000, which contains 22 as substring.

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 (1684670401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2721291 + ... + 2721909.

Almost surely, 2^1684670400 is an apocalyptic number.

1684670400 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 1684670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3554008640).

1684670400 is an abundant number, since it is smaller than the sum of its proper divisors (5423346880).

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

1684670400 is an equidigital number, since it uses as much as digits as its factorization.

1684670400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1684670400 is about 41044.7365687733. The cubic root of 1684670400 is about 1189.8849781725.

The spelling of 1684670400 in words is "one billion, six hundred eighty-four million, six hundred seventy thousand, four hundred".