90327952 has 120 divisors (see below), whose sum is σ = 214956728. Its totient is φ = 36495360.

The previous prime is 90327947. The next prime is 90327959. The reversal of 90327952 is 25972309.

It can be written as a sum of positive squares in 4 ways, for example, as 13660416 + 76667536 = 3696^2 + 8756^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90327959) 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 23 ways as a sum of consecutive naturals, for example, 931168 + ... + 931264.

Almost surely, 2^90327952 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 90327952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107478364).

90327952 is an abundant number, since it is smaller than the sum of its proper divisors (124628776).

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

90327952 is a wasteful number, since it uses less digits than its factorization.

90327952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 37.

The square root of 90327952 is about 9504.1018513061. The cubic root of 90327952 is about 448.6841428483.

The spelling of 90327952 in words is "ninety million, three hundred twenty-seven thousand, nine hundred fifty-two".