687743120 has 40 divisors (see below), whose sum is σ = 1654146360. Its totient is φ = 265610240.

The previous prime is 687743113. The next prime is 687743123. The reversal of 687743120 is 21347786.

It can be written as a sum of positive squares in 4 ways, for example, as 44944 + 687698176 = 212^2 + 26224^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (687743123) 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, 145901 + ... + 150540.

It is an arithmetic number, because the mean of its divisors is an integer number (41353659).

Almost surely, 2^687743120 is an apocalyptic number.

It is an amenable number.

687743120 is an abundant number, since it is smaller than the sum of its proper divisors (966403240).

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

687743120 is a wasteful number, since it uses less digits than its factorization.

687743120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296483 (or 296477 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 38.

The square root of 687743120 is about 26224.8569109538. The cubic root of 687743120 is about 882.6911077266.

The spelling of 687743120 in words is "six hundred eighty-seven million, seven hundred forty-three thousand, one hundred twenty".