90993384 has 72 divisors (see below), whose sum is σ = 261849510. Its totient is φ = 28540416.

The previous prime is 90993377. The next prime is 90993439. The reversal of 90993384 is 48339909.

It can be written as a sum of positive squares in 3 ways, for example, as 90668484 + 324900 = 9522^2 + 570^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 18622 + ... + 22994.

Almost surely, 2^90993384 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 90993384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130924755).

90993384 is an abundant number, since it is smaller than the sum of its proper divisors (170856126).

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

90993384 is a wasteful number, since it uses less digits than its factorization.

90993384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4419 (or 4395 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 90993384 is about 9539.0452352424. The cubic root of 90993384 is about 449.7832437576.

The spelling of 90993384 in words is "ninety million, nine hundred ninety-three thousand, three hundred eighty-four".