90605410 has 96 divisors (see below), whose sum is σ = 204994800. Its totient is φ = 28643328.

The previous prime is 90605407. The next prime is 90605447. The reversal of 90605410 is 1450609.

90605410 = 482² + 483² + ... + 726².

It can be written as a sum of positive squares in 8 ways, for example, as 35652841 + 54952569 = 5971^2 + 7413^2 .

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 47 ways as a sum of consecutive naturals, for example, 608016 + ... + 608164.

Almost surely, 2^90605410 is an apocalyptic number.

90605410 is an abundant number, since it is smaller than the sum of its proper divisors (114389390).

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

90605410 is a wasteful number, since it uses less digits than its factorization.

90605410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 90605410 is about 9518.6874095119. The cubic root of 90605410 is about 449.1430770393.

The spelling of 90605410 in words is "ninety million, six hundred five thousand, four hundred ten".