90466080 has 192 divisors, whose sum is σ = 302279040. Its totient is φ = 22708224.

The previous prime is 90466067. The next prime is 90466093. The reversal of 90466080 is 8066409.

It is an interprime number because it is at equal distance from previous prime (90466067) and next prime (90466093).

It is a super-2 number, since 2×90466080² = 16368223261132800, which contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 932592 + ... + 932688.

It is an arithmetic number, because the mean of its divisors is an integer number (1574370).

Almost surely, 2^90466080 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 90466080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151139520).

90466080 is an abundant number, since it is smaller than the sum of its proper divisors (211812960).

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

90466080 is a wasteful number, since it uses less digits than its factorization.

90466080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 90466080 is about 9511.3658325185. The cubic root of 90466080 is about 448.9127331422.

The spelling of 90466080 in words is "ninety million, four hundred sixty-six thousand, eighty".