90286560 has 432 divisors, whose sum is σ = 388481184. Its totient is φ = 18690048.

The previous prime is 90286531. The next prime is 90286583. The reversal of 90286560 is 6568209.

90286560 is a `hidden beast` number, since 90 + 2 + 8 + 6 + 560 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1703494 + ... + 1703546.

It is an arithmetic number, because the mean of its divisors is an integer number (899262).

Almost surely, 2^90286560 is an apocalyptic number.

90286560 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 90286560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194240592).

90286560 is an abundant number, since it is smaller than the sum of its proper divisors (298194624).

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

90286560 is a wasteful number, since it uses less digits than its factorization.

90286560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 90286560 is about 9501.9240156928. The cubic root of 90286560 is about 448.6155971723.

The spelling of 90286560 in words is "ninety million, two hundred eighty-six thousand, five hundred sixty".