90946960 has 80 divisors (see below), whose sum is σ = 229579056. Its totient is φ = 33306624.

The previous prime is 90946951. The next prime is 90946967. The reversal of 90946960 is 6964909.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 30294016 + 60652944 = 5504^2 + 7788^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (90946967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163002 + ... + 163558.

Almost surely, 2^90946960 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 90946960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114789528).

90946960 is an abundant number, since it is smaller than the sum of its proper divisors (138632096).

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

90946960 is a wasteful number, since it uses less digits than its factorization.

90946960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 43.

The square root of 90946960 is about 9536.6115575712. The cubic root of 90946960 is about 449.7067389670.

The spelling of 90946960 in words is "ninety million, nine hundred forty-six thousand, nine hundred sixty".