90417645 has 48 divisors (see below), whose sum is σ = 167115312. Its totient is φ = 45066240.

The previous prime is 90417619. The next prime is 90417683. The reversal of 90417645 is 54671409.

90417645 is a `hidden beast` number, since 9 + 0 + 4 + 1 + 7 + 645 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 13995081 + 76422564 = 3741^2 + 8742^2 .

It is not a de Polignac number, because 90417645 - 2⁷ = 90417517 is a prime.

It is a super-3 number, since 3×90417645³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 138139 + ... + 138791.

It is an arithmetic number, because the mean of its divisors is an integer number (3481569).

Almost surely, 2^90417645 is an apocalyptic number.

It is an amenable number.

90417645 is a deficient number, since it is larger than the sum of its proper divisors (76697667).

90417645 is a wasteful number, since it uses less digits than its factorization.

90417645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 90417645 is about 9508.8193273403. The cubic root of 90417645 is about 448.8326037730.

The spelling of 90417645 in words is "ninety million, four hundred seventeen thousand, six hundred forty-five".