687481020 has 288 divisors, whose sum is σ = 2347869888. Its totient is φ = 168210432.

The previous prime is 687481013. The next prime is 687481021. The reversal of 687481020 is 20184786.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (687481021) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4378782 + ... + 4378938.

It is an arithmetic number, because the mean of its divisors is an integer number (8152326).

Almost surely, 2^687481020 is an apocalyptic number.

687481020 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 687481020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1173934944).

687481020 is an abundant number, since it is smaller than the sum of its proper divisors (1660388868).

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

687481020 is a wasteful number, since it uses less digits than its factorization.

687481020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 687481020 is about 26219.8592673569. The cubic root of 687481020 is about 882.5789618160.

The spelling of 687481020 in words is "six hundred eighty-seven million, four hundred eighty-one thousand, twenty".