90835668 has 180 divisors, whose sum is σ = 299201056. Its totient is φ = 23522400.

The previous prime is 90835621. The next prime is 90835669. The reversal of 90835668 is 86653809.

90835668 is a `hidden beast` number, since 9 + 0 + 83 + 566 + 8 = 666.

It is a super-2 number, since 2×90835668² = 16502237162012448, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90835669) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 274263 + ... + 274593.

Almost surely, 2^90835668 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 90835668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149600528).

90835668 is an abundant number, since it is smaller than the sum of its proper divisors (208365388).

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

90835668 is a wasteful number, since it uses less digits than its factorization.

90835668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 354 counting only the distinct ones).

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

The square root of 90835668 is about 9530.7747848745. The cubic root of 90835668 is about 449.5232283758.

The spelling of 90835668 in words is "ninety million, eight hundred thirty-five thousand, six hundred sixty-eight".