688406364 has 108 divisors (see below), whose sum is σ = 1914507504. Its totient is φ = 215830656.

The previous prime is 688406363. The next prime is 688406377. The reversal of 688406364 is 463604886.

688406364 is a `hidden beast` number, since 6 + 8 + 8 + 4 + 0 + 636 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (688406363) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 445377 + ... + 446919.

Almost surely, 2^688406364 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 688406364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957253752).

688406364 is an abundant number, since it is smaller than the sum of its proper divisors (1226101140).

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

688406364 is a wasteful number, since it uses less digits than its factorization.

688406364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1588 (or 1565 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 688406364 is about 26237.4991948547. The cubic root of 688406364 is about 882.9747657135.

The spelling of 688406364 in words is "six hundred eighty-eight million, four hundred six thousand, three hundred sixty-four".