90095616 has 180 divisors, whose sum is σ = 286252512. Its totient is φ = 27131904.

The previous prime is 90095611. The next prime is 90095617. The reversal of 90095616 is 61659009.

90095616 is a `hidden beast` number, since 90 + 0 + 9 + 561 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (90095611) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1916905 + ... + 1916951.

Almost surely, 2^90095616 is an apocalyptic number.

90095616 is a gapful number since it is divisible by the number (96) 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 90095616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143126256).

90095616 is an abundant number, since it is smaller than the sum of its proper divisors (196156896).

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

90095616 is a wasteful number, since it uses less digits than its factorization.

90095616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 90095616 is about 9491.8710484288. The cubic root of 90095616 is about 448.2991199675.

The spelling of 90095616 in words is "ninety million, ninety-five thousand, six hundred sixteen".