90529960 has 16 divisors (see below), whose sum is σ = 203692500. Its totient is φ = 36211968.

The previous prime is 90529949. The next prime is 90529969. The reversal of 90529960 is 6992509.

It can be written as a sum of positive squares in 2 ways, for example, as 86601636 + 3928324 = 9306^2 + 1982^2 .

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 2263249 = 90529960 / (9 + 0 + 5 + 2 + 9 + 9 + 6 + 0).

It is not an unprimeable number, because it can be changed into a prime (90529969) 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 3 ways as a sum of consecutive naturals, for example, 1131585 + ... + 1131664.

Almost surely, 2^90529960 is an apocalyptic number.

It is an amenable number.

90529960 is an abundant number, since it is smaller than the sum of its proper divisors (113162540).

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

90529960 is a wasteful number, since it uses less digits than its factorization.

90529960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2263260 (or 2263256 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 40.

The square root of 90529960 is about 9514.7233275592. The cubic root of 90529960 is about 449.0183705197.

The spelling of 90529960 in words is "ninety million, five hundred twenty-nine thousand, nine hundred sixty".