687630432 has 96 divisors (see below), whose sum is σ = 1839922560. Its totient is φ = 224824320.

The previous prime is 687630431. The next prime is 687630497. The reversal of 687630432 is 234036786.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×687630432² = 945671222025013248, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (687630431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1681044 + ... + 1681452.

It is an arithmetic number, because the mean of its divisors is an integer number (19165860).

Almost surely, 2^687630432 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 687630432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919961280).

687630432 is an abundant number, since it is smaller than the sum of its proper divisors (1152292128).

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

687630432 is a wasteful number, since it uses less digits than its factorization.

687630432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The square root of 687630432 is about 26222.7083269444. The cubic root of 687630432 is about 882.6428948954.

The spelling of 687630432 in words is "six hundred eighty-seven million, six hundred thirty thousand, four hundred thirty-two".