90583968 has 48 divisors (see below), whose sum is σ = 240117696. Its totient is φ = 29898240.

The previous prime is 90583919. The next prime is 90583991. The reversal of 90583968 is 86938509.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5308 + ... + 14468.

It is an arithmetic number, because the mean of its divisors is an integer number (5002452).

Almost surely, 2^90583968 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 90583968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120058848).

90583968 is an abundant number, since it is smaller than the sum of its proper divisors (149533728).

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

90583968 is a wasteful number, since it uses less digits than its factorization.

90583968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9277 (or 9269 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The square root of 90583968 is about 9517.5610321132. The cubic root of 90583968 is about 449.1076439614.

The spelling of 90583968 in words is "ninety million, five hundred eighty-three thousand, nine hundred sixty-eight".