687346400 has 288 divisors, whose sum is σ = 1948937760. Its totient is φ = 234823680.

The previous prime is 687346391. The next prime is 687346409. The reversal of 687346400 is 4643786.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (687346391) and next prime (687346409).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (687346409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12968774 + ... + 12968826.

It is an arithmetic number, because the mean of its divisors is an integer number (6767145).

Almost surely, 2^687346400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 687346400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (974468880).

687346400 is an abundant number, since it is smaller than the sum of its proper divisors (1261591360).

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

687346400 is a wasteful number, since it uses less digits than its factorization.

687346400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 38.

The square root of 687346400 is about 26217.2920035613. The cubic root of 687346400 is about 882.5213502687.

The spelling of 687346400 in words is "six hundred eighty-seven million, three hundred forty-six thousand, four hundred".