90486072 has 80 divisors (see below), whose sum is σ = 254826000. Its totient is φ = 29998080.

The previous prime is 90486049. The next prime is 90486073. The reversal of 90486072 is 27068409.

90486072 is a `hidden beast` number, since 9 + 0 + 48 + 607 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90486073) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 201304 + ... + 201752.

It is an arithmetic number, because the mean of its divisors is an integer number (3185325).

Almost surely, 2^90486072 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 90486072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127413000).

90486072 is an abundant number, since it is smaller than the sum of its proper divisors (164339928).

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

90486072 is a wasteful number, since it uses less digits than its factorization.

90486072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 90486072 is about 9512.4167276250. The cubic root of 90486072 is about 448.9457989511.

The spelling of 90486072 in words is "ninety million, four hundred eighty-six thousand, seventy-two".