90687000 has 256 divisors, whose sum is σ = 312998400. Its totient is φ = 21772800.

The previous prime is 90686989. The next prime is 90687001. The reversal of 90687000 is 78609.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90687001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2108979 + ... + 2109021.

It is an arithmetic number, because the mean of its divisors is an integer number (1222650).

Almost surely, 2^90687000 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 90687000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156499200).

90687000 is an abundant number, since it is smaller than the sum of its proper divisors (222311400).

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

90687000 is a wasteful number, since it uses less digits than its factorization.

90687000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 109 counting only the distinct ones).

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

The square root of 90687000 is about 9522.9722250986. The cubic root of 90687000 is about 449.2778540884.

The spelling of 90687000 in words is "ninety million, six hundred eighty-seven thousand".