90609156 has 144 divisors (see below), whose sum is σ = 264316416. Its totient is φ = 26136000.

The previous prime is 90609151. The next prime is 90609179. The reversal of 90609156 is 65190609.

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 90609156.

It is not an unprimeable number, because it can be changed into a prime (90609151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1485366 + ... + 1485426.

Almost surely, 2^90609156 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 90609156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132158208).

90609156 is an abundant number, since it is smaller than the sum of its proper divisors (173707260).

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

90609156 is a wasteful number, since it uses less digits than its factorization.

90609156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 108 counting only the distinct ones).

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

The square root of 90609156 is about 9518.8841783058. The cubic root of 90609156 is about 449.1492667608.

The spelling of 90609156 in words is "ninety million, six hundred nine thousand, one hundred fifty-six".