687966048 has 336 divisors, whose sum is σ = 2538418176. Its totient is φ = 178225920.

The previous prime is 687966029. The next prime is 687966061. The reversal of 687966048 is 840669786.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 687965985 and 687966003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1796065 + ... + 1796447.

It is an arithmetic number, because the mean of its divisors is an integer number (7554816).

Almost surely, 2^687966048 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 687966048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1269209088).

687966048 is an abundant number, since it is smaller than the sum of its proper divisors (1850452128).

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

687966048 is a wasteful number, since it uses less digits than its factorization.

687966048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 687966048 is about 26229.1068852906. The cubic root of 687966048 is about 882.7864705154.

It can be divided in two parts, 6879 and 66048, that added together give a palindrome (72927).

The spelling of 687966048 in words is "six hundred eighty-seven million, nine hundred sixty-six thousand, forty-eight".