686246400 has 720 divisors, whose sum is σ = 3007914624. Its totient is φ = 145981440.

The previous prime is 686246369. The next prime is 686246413. The reversal of 686246400 is 4642686.

It is a happy number.

686246400 is a `hidden beast` number, since 6 + 8 + 6 + 2 + 4 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 71 ways as a sum of consecutive naturals, for example, 18547182 + ... + 18547218.

Almost surely, 2^686246400 is an apocalyptic number.

686246400 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 686246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1503957312).

686246400 is an abundant number, since it is smaller than the sum of its proper divisors (2321668224).

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

686246400 is a wasteful number, since it uses less digits than its factorization.

686246400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 686246400 is about 26196.3050829692. The cubic root of 686246400 is about 882.0503156697.

The spelling of 686246400 in words is "six hundred eighty-six million, two hundred forty-six thousand, four hundred".