90975150 has 120 divisors (see below), whose sum is σ = 288977040. Its totient is φ = 20787840.

The previous prime is 90975121. The next prime is 90975151. The reversal of 90975150 is 5157909.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90975151) 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, 26746 + ... + 29954.

It is an arithmetic number, because the mean of its divisors is an integer number (2408142).

Almost surely, 2^90975150 is an apocalyptic number.

90975150 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 90975150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144488520).

90975150 is an abundant number, since it is smaller than the sum of its proper divisors (198001890).

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

90975150 is a wasteful number, since it uses less digits than its factorization.

90975150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3240 (or 3226 counting only the distinct ones).

The product of its (nonzero) digits is 14175, while the sum is 36.

The square root of 90975150 is about 9538.0894313274. The cubic root of 90975150 is about 449.7531979998.

It can be divided in two parts, 90975 and 150, that added together give a cube (91125 = 45³).

The spelling of 90975150 in words is "ninety million, nine hundred seventy-five thousand, one hundred fifty".