90578200 has 48 divisors (see below), whose sum is σ = 212687280. Its totient is φ = 35871360.

The previous prime is 90578197. The next prime is 90578231. The reversal of 90578200 is 287509.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18402 + ... + 22798.

It is an arithmetic number, because the mean of its divisors is an integer number (4430985).

Almost surely, 2^90578200 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 90578200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106343640).

90578200 is an abundant number, since it is smaller than the sum of its proper divisors (122109080).

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

90578200 is a wasteful number, since it uses less digits than its factorization.

90578200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4516 (or 4507 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 90578200 is about 9517.2580084812. The cubic root of 90578200 is about 449.0981113405.

The spelling of 90578200 in words is "ninety million, five hundred seventy-eight thousand, two hundred".