688528401 has 16 divisors (see below), whose sum is σ = 1001937600. Its totient is φ = 417105920.

The previous prime is 688528387. The next prime is 688528417. The reversal of 688528401 is 104825886.

It is not a de Polignac number, because 688528401 - 2⁷ = 688528273 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (688528471) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131041 + ... + 136193.

It is an arithmetic number, because the mean of its divisors is an integer number (62621100).

Almost surely, 2^688528401 is an apocalyptic number.

It is an amenable number.

688528401 is a deficient number, since it is larger than the sum of its proper divisors (313409199).

688528401 is a wasteful number, since it uses less digits than its factorization.

688528401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9216.

The product of its (nonzero) digits is 122880, while the sum is 42.

The square root of 688528401 is about 26239.8247135914. The cubic root of 688528401 is about 883.0269389793.

The spelling of 688528401 in words is "six hundred eighty-eight million, five hundred twenty-eight thousand, four hundred one".