90083085660 has 120 divisors (see below), whose sum is σ = 283006456656. Its totient is φ = 23987093760.

The previous prime is 90083085647. The next prime is 90083085661. The reversal of 90083085660 is 6658038009.

90083085660 is a `hidden beast` number, since 9 + 0 + 0 + 83 + 0 + 8 + 566 + 0 = 666.

It is a super-2 number, since 2×90083085660² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90083085661) 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, 1079184 + ... + 1159656.

Almost surely, 2^90083085660 is an apocalyptic number.

90083085660 is a gapful number since it is divisible by the number (90) 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 90083085660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141503228328).

90083085660 is an abundant number, since it is smaller than the sum of its proper divisors (192923370996).

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

90083085660 is a wasteful number, since it uses less digits than its factorization.

90083085660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81185 (or 81174 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 90083085660 in words is "ninety billion, eighty-three million, eighty-five thousand, six hundred sixty".