90417096 has 192 divisors, whose sum is σ = 312698880. Its totient is φ = 22919040.

The previous prime is 90417091. The next prime is 90417097. The reversal of 90417096 is 69071409.

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

It is a self number, because there is not a number n which added to its sum of digits gives 90417096.

It is not an unprimeable number, because it can be changed into a prime (90417091) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 260395 + ... + 260741.

It is an arithmetic number, because the mean of its divisors is an integer number (1628640).

Almost surely, 2^90417096 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 90417096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156349440).

90417096 is an abundant number, since it is smaller than the sum of its proper divisors (222281784).

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

90417096 is a wasteful number, since it uses less digits than its factorization.

90417096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 90417096 is about 9508.7904593592. The cubic root of 90417096 is about 448.8316953604.

The spelling of 90417096 in words is "ninety million, four hundred seventeen thousand, ninety-six".