90481664 has 88 divisors (see below), whose sum is σ = 222844608. Its totient is φ = 35758080.

The previous prime is 90481649. The next prime is 90481669. The reversal of 90481664 is 46618409.

It is not an unprimeable number, because it can be changed into a prime (90481669) 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, 92699 + ... + 93669.

Almost surely, 2^90481664 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 90481664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111422304).

90481664 is an abundant number, since it is smaller than the sum of its proper divisors (132362944).

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

90481664 is a wasteful number, since it uses less digits than its factorization.

90481664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 90481664 is about 9512.1850276369. The cubic root of 90481664 is about 448.9385087491.

The spelling of 90481664 in words is "ninety million, four hundred eighty-one thousand, six hundred sixty-four".