90517644 has 72 divisors (see below), whose sum is σ = 269954048. Its totient is φ = 25025760.

The previous prime is 90517643. The next prime is 90517663. The reversal of 90517644 is 44671509.

90517644 is a `hidden beast` number, since 9 + 0 + 5 + 1 + 7 + 644 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 90517599 and 90517608.

It is not an unprimeable number, because it can be changed into a prime (90517643) 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 23 ways as a sum of consecutive naturals, for example, 2019 + ... + 13605.

Almost surely, 2^90517644 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 90517644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134977024).

90517644 is an abundant number, since it is smaller than the sum of its proper divisors (179436404).

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

90517644 is a wasteful number, since it uses less digits than its factorization.

90517644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11635 (or 11630 counting only the distinct ones).

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

The square root of 90517644 is about 9514.0760980770. The cubic root of 90517644 is about 448.9980076069.

The spelling of 90517644 in words is "ninety million, five hundred seventeen thousand, six hundred forty-four".