687838000 has 160 divisors (see below), whose sum is σ = 1829168640. Its totient is φ = 249004800.

The previous prime is 687837973. The next prime is 687838001. The reversal of 687838000 is 838786.

It is a super-2 number, since 2×687838000² = 946242228488000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (687838001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 873607 + ... + 874393.

It is an arithmetic number, because the mean of its divisors is an integer number (11432304).

Almost surely, 2^687838000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 687838000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914584320).

687838000 is an abundant number, since it is smaller than the sum of its proper divisors (1141330640).

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

687838000 is a wasteful number, since it uses less digits than its factorization.

687838000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The square root of 687838000 is about 26226.6658193526. The cubic root of 687838000 is about 882.7316974365.

The spelling of 687838000 in words is "six hundred eighty-seven million, eight hundred thirty-eight thousand".