687479520 has 192 divisors, whose sum is σ = 2665474560. Its totient is φ = 145041408.

The previous prime is 687479519. The next prime is 687479543. The reversal of 687479520 is 25974786.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 687479520.

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, 35811 + ... + 51549.

It is an arithmetic number, because the mean of its divisors is an integer number (13882680).

Almost surely, 2^687479520 is an apocalyptic number.

687479520 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 687479520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1332737280).

687479520 is an abundant number, since it is smaller than the sum of its proper divisors (1977995040).

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

687479520 is a wasteful number, since it uses less digits than its factorization.

687479520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15777 (or 15769 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The square root of 687479520 is about 26219.8306630687. The cubic root of 687479520 is about 882.5783199222.

The spelling of 687479520 in words is "six hundred eighty-seven million, four hundred seventy-nine thousand, five hundred twenty".