687516480 has 336 divisors, whose sum is σ = 2748320640. Its totient is φ = 154497024.

The previous prime is 687516469. The next prime is 687516497. The reversal of 687516480 is 84615786.

It is a happy number.

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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1350466 + ... + 1350974.

Almost surely, 2^687516480 is an apocalyptic number.

687516480 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 687516480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374160320).

687516480 is an abundant number, since it is smaller than the sum of its proper divisors (2060804160).

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

687516480 is a wasteful number, since it uses less digits than its factorization.

687516480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 687516480 is about 26220.5354636399. The cubic root of 687516480 is about 882.5941359134.

The spelling of 687516480 in words is "six hundred eighty-seven million, five hundred sixteen thousand, four hundred eighty".