90097664 has 96 divisors (see below), whose sum is σ = 196068600. Its totient is φ = 41287680.

The previous prime is 90097663. The next prime is 90097691. The reversal of 90097664 is 46679009.

It can be written as a sum of positive squares in 4 ways, for example, as 74097664 + 16000000 = 8608^2 + 4000^2 .

It is a Harshad number since it is a multiple of its sum of digits (41).

It is not an unprimeable number, because it can be changed into a prime (90097663) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2197484 + ... + 2197524.

Almost surely, 2^90097664 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 90097664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98034300).

90097664 is an abundant number, since it is smaller than the sum of its proper divisors (105970936).

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

90097664 is a wasteful number, since it uses less digits than its factorization.

90097664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 41.

The square root of 90097664 is about 9491.9789296016. The cubic root of 90097664 is about 448.3025167648.

The spelling of 90097664 in words is "ninety million, ninety-seven thousand, six hundred sixty-four".