688528416 has 48 divisors (see below), whose sum is σ = 1851480288. Its totient is φ = 223910400.

The previous prime is 688528387. The next prime is 688528417. The reversal of 688528416 is 614825886.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (688528417) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83530 + ... + 91401.

It is an arithmetic number, because the mean of its divisors is an integer number (38572506).

Almost surely, 2^688528416 is an apocalyptic number.

It is an amenable number.

688528416 is an abundant number, since it is smaller than the sum of its proper divisors (1162951872).

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

688528416 is a wasteful number, since it uses less digits than its factorization.

688528416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174985 (or 174977 counting only the distinct ones).

The product of its digits is 737280, while the sum is 48.

The square root of 688528416 is about 26239.8249994164. The cubic root of 688528416 is about 883.0269453918.

The spelling of 688528416 in words is "six hundred eighty-eight million, five hundred twenty-eight thousand, four hundred sixteen".