90086400 has 396 divisors, whose sum is σ = 356374512. Its totient is φ = 21626880.

The previous prime is 90086393. The next prime is 90086401. The reversal of 90086400 is 468009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90086401) 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 35 ways as a sum of consecutive naturals, for example, 3916789 + ... + 3916811.

Almost surely, 2^90086400 is an apocalyptic number.

90086400 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 90086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178187256).

90086400 is an abundant number, since it is smaller than the sum of its proper divisors (266288112).

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

90086400 is a wasteful number, since it uses less digits than its factorization.

90086400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 90086400 is about 9491.3855679769. The cubic root of 90086400 is about 448.2838337425.

The spelling of 90086400 in words is "ninety million, eighty-six thousand, four hundred".