687090000 has 200 divisors, whose sum is σ = 2281644640. Its totient is φ = 177984000.

The previous prime is 687089999. The next prime is 687090007. The reversal of 687090000 is 90786.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 687090000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (687090007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1109691 + ... + 1110309.

Almost surely, 2^687090000 is an apocalyptic number.

687090000 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 687090000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1140822320).

687090000 is an abundant number, since it is smaller than the sum of its proper divisors (1594554640).

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

687090000 is a wasteful number, since it uses less digits than its factorization.

687090000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 687090000 is about 26212.4016450229. The cubic root of 687090000 is about 882.4116013289.

The spelling of 687090000 in words is "six hundred eighty-seven million, ninety thousand".