90538672 has 60 divisors (see below), whose sum is σ = 212972976. Its totient is φ = 37107840.

The previous prime is 90538621. The next prime is 90538673. The reversal of 90538672 is 27683509.

It is a super-2 number, since 2×90538672² = 16394502255047168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (90538673) 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, 15522 + ... + 20542.

Almost surely, 2^90538672 is an apocalyptic number.

90538672 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90538672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106486488).

90538672 is an abundant number, since it is smaller than the sum of its proper divisors (122434304).

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

90538672 is a wasteful number, since it uses less digits than its factorization.

90538672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5066 (or 5053 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The square root of 90538672 is about 9515.1811333258. The cubic root of 90538672 is about 449.0327735695.

The spelling of 90538672 in words is "ninety million, five hundred thirty-eight thousand, six hundred seventy-two".