687510720 has 224 divisors, whose sum is σ = 2612379840. Its totient is φ = 169205760.

The previous prime is 687510709. The next prime is 687510721. The reversal of 687510720 is 27015786.

It is a super-2 number, since 2×687510720² = 945341980229836800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (687510721) 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 31 ways as a sum of consecutive naturals, for example, 109260 + ... + 115380.

It is an arithmetic number, because the mean of its divisors is an integer number (11662410).

Almost surely, 2^687510720 is an apocalyptic number.

687510720 is a gapful number since it is divisible by the number (60) 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 687510720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306189920).

687510720 is an abundant number, since it is smaller than the sum of its proper divisors (1924869120).

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

687510720 is a wasteful number, since it uses less digits than its factorization.

687510720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6160 (or 6144 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 687510720 is about 26220.4256258361. The cubic root of 687510720 is about 882.5916711209.

The spelling of 687510720 in words is "six hundred eighty-seven million, five hundred ten thousand, seven hundred twenty".