90117612 has 144 divisors (see below), whose sum is σ = 266378112. Its totient is φ = 25436160.

The previous prime is 90117593. The next prime is 90117619. The reversal of 90117612 is 21671109.

It is not an unprimeable number, because it can be changed into a prime (90117619) 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, 373812 + ... + 374052.

It is an arithmetic number, because the mean of its divisors is an integer number (1849848).

Almost surely, 2^90117612 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 90117612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133189056).

90117612 is an abundant number, since it is smaller than the sum of its proper divisors (176260500).

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

90117612 is a wasteful number, since it uses less digits than its factorization.

90117612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 90117612 is about 9493.0296533825. The cubic root of 90117612 is about 448.3355996747.

The spelling of 90117612 in words is "ninety million, one hundred seventeen thousand, six hundred twelve".