687094144 has 128 divisors (see below), whose sum is σ = 1560477600. Its totient is φ = 301086720.

The previous prime is 687094141. The next prime is 687094159. The reversal of 687094144 is 441490786.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 687094144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (687094141) 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, 6303562 + ... + 6303670.

Almost surely, 2^687094144 is an apocalyptic number.

687094144 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 687094144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780238800).

687094144 is an abundant number, since it is smaller than the sum of its proper divisors (873383456).

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

687094144 is a wasteful number, since it uses less digits than its factorization.

687094144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The square root of 687094144 is about 26212.4806914569. The cubic root of 687094144 is about 882.4133753353.

The spelling of 687094144 in words is "six hundred eighty-seven million, ninety-four thousand, one hundred forty-four".