90961152 has 72 divisors (see below), whose sum is σ = 256366656. Its totient is φ = 28532736.

The previous prime is 90961147. The next prime is 90961163. The reversal of 90961152 is 25116909.

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9573 + ... + 16539.

It is an arithmetic number, because the mean of its divisors is an integer number (3560648).

Almost surely, 2^90961152 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 90961152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128183328).

90961152 is an abundant number, since it is smaller than the sum of its proper divisors (165405504).

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

90961152 is a wasteful number, since it uses less digits than its factorization.

90961152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7003 (or 6989 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 33.

The square root of 90961152 is about 9537.3556083434. The cubic root of 90961152 is about 449.7301295458.

The spelling of 90961152 in words is "ninety million, nine hundred sixty-one thousand, one hundred fifty-two".