688350264 has 128 divisors (see below), whose sum is σ = 2154470400. Its totient is φ = 178698240.

The previous prime is 688350253. The next prime is 688350277. The reversal of 688350264 is 462053886.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78669 + ... + 86979.

It is an arithmetic number, because the mean of its divisors is an integer number (16831800).

Almost surely, 2^688350264 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 688350264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1077235200).

688350264 is an abundant number, since it is smaller than the sum of its proper divisors (1466120136).

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

688350264 is a wasteful number, since it uses less digits than its factorization.

688350264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8373 (or 8369 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 688350264 is about 26236.4300925259. The cubic root of 688350264 is about 882.9507797693.

The spelling of 688350264 in words is "six hundred eighty-eight million, three hundred fifty thousand, two hundred sixty-four".