687390144 has 224 divisors, whose sum is σ = 2231233536. Its totient is φ = 182476800.

The previous prime is 687390101. The next prime is 687390157. The reversal of 687390144 is 441093786.

687390144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a junction number, because it is equal to n+sod(n) for n = 687390096 and 687390105.

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, 1143444 + ... + 1144044.

It is an arithmetic number, because the mean of its divisors is an integer number (9960864).

Almost surely, 2^687390144 is an apocalyptic number.

687390144 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 687390144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1115616768).

687390144 is an abundant number, since it is smaller than the sum of its proper divisors (1543843392).

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

687390144 is a wasteful number, since it uses less digits than its factorization.

687390144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 687390144 is about 26218.1262488378. The cubic root of 687390144 is about 882.5400716369.

The spelling of 687390144 in words is "six hundred eighty-seven million, three hundred ninety thousand, one hundred forty-four".