683366400 has 216 divisors, whose sum is σ = 2449022940. Its totient is φ = 182108160.

The previous prime is 683366351. The next prime is 683366419. The reversal of 683366400 is 4663386.

683366400 is a `hidden beast` number, since 6 + 8 + 3 + 3 + 6 + 640 + 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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 460059 + ... + 461541.

Almost surely, 2^683366400 is an apocalyptic number.

683366400 is a gapful number since it is divisible by the number (60) 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 683366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1224511470).

683366400 is an abundant number, since it is smaller than the sum of its proper divisors (1765656540).

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

683366400 is a wasteful number, since it uses less digits than its factorization.

683366400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1521 (or 1493 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 683366400 is about 26141.2777040450. The cubic root of 683366400 is about 880.8146725697.

The spelling of 683366400 in words is "six hundred eighty-three million, three hundred sixty-six thousand, four hundred".