90681984 has 128 divisors (see below), whose sum is σ = 281928000. Its totient is φ = 28615680.

The previous prime is 90681979. The next prime is 90681991. The reversal of 90681984 is 48918609.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64974 + ... + 66354.

Almost surely, 2^90681984 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 90681984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140964000).

90681984 is an abundant number, since it is smaller than the sum of its proper divisors (191246016).

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

90681984 is a wasteful number, since it uses less digits than its factorization.

90681984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1423 (or 1405 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 90681984 is about 9522.7088583029. The cubic root of 90681984 is about 449.2695705812.

The spelling of 90681984 in words is "ninety million, six hundred eighty-one thousand, nine hundred eighty-four".