90853200 has 90 divisors (see below), whose sum is σ = 315298334. Its totient is φ = 24226560.

The previous prime is 90853187. The next prime is 90853223. The reversal of 90853200 is 235809.

It can be written as a sum of positive squares in 3 ways, for example, as 13483584 + 77369616 = 3672^2 + 8796^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 9019 + ... + 16218.

Almost surely, 2^90853200 is an apocalyptic number.

90853200 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

90853200 is an abundant number, since it is smaller than the sum of its proper divisors (224445134).

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

90853200 is a wasteful number, since it uses less digits than its factorization.

90853200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25261 (or 25247 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 90853200 is about 9531.6944978320. The cubic root of 90853200 is about 449.5521470243.

The spelling of 90853200 in words is "ninety million, eight hundred fifty-three thousand, two hundred".