90487872 has 84 divisors (see below), whose sum is σ = 274653756. Its totient is φ = 28385280.

The previous prime is 90487871. The next prime is 90487883. The reversal of 90487872 is 27878409.

90487872 is a `hidden beast` number, since 90 + 487 + 87 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 82737216 + 7750656 = 9096^2 + 2784^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90487871) 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 11 ways as a sum of consecutive naturals, for example, 5172 + ... + 14412.

Almost surely, 2^90487872 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 90487872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137326878).

90487872 is an abundant number, since it is smaller than the sum of its proper divisors (184165884).

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

90487872 is a wasteful number, since it uses less digits than its factorization.

90487872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9276 (or 9263 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 90487872 is about 9512.5113403349. The cubic root of 90487872 is about 448.9487758257.

The spelling of 90487872 in words is "ninety million, four hundred eighty-seven thousand, eight hundred seventy-two".