90809544 has 96 divisors (see below), whose sum is σ = 271356480. Its totient is φ = 25232256.

The previous prime is 90809539. The next prime is 90809549. The reversal of 90809544 is 44590809.

It is an interprime number because it is at equal distance from previous prime (90809539) and next prime (90809549).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (90809549) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42469 + ... + 44555.

It is an arithmetic number, because the mean of its divisors is an integer number (2826630).

Almost surely, 2^90809544 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 90809544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135678240).

90809544 is an abundant number, since it is smaller than the sum of its proper divisors (180546936).

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

90809544 is a wasteful number, since it uses less digits than its factorization.

90809544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2147 (or 2136 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 90809544 is about 9529.4041786462. The cubic root of 90809544 is about 449.4801305082.

The spelling of 90809544 in words is "ninety million, eight hundred nine thousand, five hundred forty-four".