90546480 has 120 divisors (see below), whose sum is σ = 308788272. Its totient is φ = 23772672.

The previous prime is 90546479. The next prime is 90546481. The reversal of 90546480 is 8464509.

90546480 is a `hidden beast` number, since 9 + 0 + 5 + 4 + 648 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (90546479) and next prime (90546481).

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (90546481) 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, 47302 + ... + 49178.

Almost surely, 2^90546480 is an apocalyptic number.

90546480 is a gapful number since it is divisible by the number (90) 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 90546480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154394136).

90546480 is an abundant number, since it is smaller than the sum of its proper divisors (218241792).

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

90546480 is a wasteful number, since it uses less digits than its factorization.

90546480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1963 (or 1954 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 90546480 is about 9515.5914161969. The cubic root of 90546480 is about 449.0456813029.

The spelling of 90546480 in words is "ninety million, five hundred forty-six thousand, four hundred eighty".